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jfalcou committed Nov 3, 2023
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<tr class="memitem:gaae7085c537556dd281121a349ffb2b93"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cscpi&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaae7085c537556dd281121a349ffb2b93.html#gaae7085c537556dd281121a349ffb2b93">kyosu::cscpi</a> = {}</td></tr>
<tr class="memdesc:gaae7085c537556dd281121a349ffb2b93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the cosecant from the argument in \(\pi\) multiples. <br /></td></tr>
<tr class="separator:gaae7085c537556dd281121a349ffb2b93"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gac4f3c25536e496df8b0230bddcea0031"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_h1n&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gac4f3c25536e496df8b0230bddcea0031.html#gac4f3c25536e496df8b0230bddcea0031">kyosu::cyl_bessel_h1n</a> = {}</td></tr>
<tr class="memdesc:gac4f3c25536e496df8b0230bddcea0031"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel/Hankel functions of the third kind, \( H_n^{(1)}(z) = J_n(z)+iY_n(z)\). <br /></td></tr>
<tr class="separator:gac4f3c25536e496df8b0230bddcea0031"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga1d1e9cc27267bef8759027283d435b6e"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_h2n&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga1d1e9cc27267bef8759027283d435b6e.html#ga1d1e9cc27267bef8759027283d435b6e">kyosu::cyl_bessel_h2n</a> = {}</td></tr>
<tr class="memdesc:ga1d1e9cc27267bef8759027283d435b6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel/Hankel functions of the third kind , \( H_n^{(2)} = J_n(z)-iY_n(z)\). <br /></td></tr>
<tr class="separator:ga1d1e9cc27267bef8759027283d435b6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_i0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gab1f5b5dc6efa67f0542e64ceb84fd843.html#gab1f5b5dc6efa67f0542e64ceb84fd843">kyosu::cyl_bessel_i0</a> = {}</td></tr>
<tr class="memdesc:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="memdesc:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the modified Bessel function of the first kind \(I_{0}(x)=J_{0}(ix)\) extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:gab1f5b5dc6efa67f0542e64ceb84fd843"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga9022cd9a81d5057a6f3356c16c76c940"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_i1&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga9022cd9a81d5057a6f3356c16c76c940.html#ga9022cd9a81d5057a6f3356c16c76c940">kyosu::cyl_bessel_i1</a> = {}</td></tr>
<tr class="memdesc:ga9022cd9a81d5057a6f3356c16c76c940"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="memdesc:ga9022cd9a81d5057a6f3356c16c76c940"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the modified Bessel function of the first kind, \( I_1(x)= _iJ_1(ix) \) extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:ga9022cd9a81d5057a6f3356c16c76c940"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaaad895e7ba266d0e4d531d43ea44e273"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_in&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaaad895e7ba266d0e4d531d43ea44e273.html#gaaad895e7ba266d0e4d531d43ea44e273">kyosu::cyl_bessel_in</a> = {}</td></tr>
<tr class="memdesc:gaaad895e7ba266d0e4d531d43ea44e273"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the modified Bessel functions of the first kind \(I_{n}(x)=i^{-n}J_{n }(ix)\), extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:gaaad895e7ba266d0e4d531d43ea44e273"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaeae54b007bf49f4ff84a5f73e3c9b0a8"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_j0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaeae54b007bf49f4ff84a5f73e3c9b0a8.html#gaeae54b007bf49f4ff84a5f73e3c9b0a8">kyosu::cyl_bessel_j0</a> = {}</td></tr>
<tr class="memdesc:gaeae54b007bf49f4ff84a5f73e3c9b0a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:gaeae54b007bf49f4ff84a5f73e3c9b0a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gab07b0b22e10bac659c95fd81ea819086"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_j1&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gab07b0b22e10bac659c95fd81ea819086.html#gab07b0b22e10bac659c95fd81ea819086">kyosu::cyl_bessel_j1</a> = {}</td></tr>
<tr class="memdesc:gab07b0b22e10bac659c95fd81ea819086"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_1(x)=\frac1{\pi }\int _{0}^{\pi}\cos(\tau-x\sin \tau )\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="memdesc:gab07b0b22e10bac659c95fd81ea819086"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the first kind, \( J_1(x)=\frac1{\pi }\int _{0}^{\pi}\cos(\tau-x\sin \tau )\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. It is the solution of \( x^{2}y&#39;&#39;+xy&#39;+x^2y=0\) for which \( y(0) = 1\). <br /></td></tr>
<tr class="separator:gab07b0b22e10bac659c95fd81ea819086"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaf7b3924df2aa81781473dfc547daf604"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_jn&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaf7b3924df2aa81781473dfc547daf604.html#gaf7b3924df2aa81781473dfc547daf604">kyosu::cyl_bessel_jn</a> = {}</td></tr>
<tr class="memdesc:gaf7b3924df2aa81781473dfc547daf604"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel functions of the first kind, \( J_{n}(x)=\sum_{p=0}^{\infty}{\frac{(-1)^p}{p!\,\Gamma (p+n +1)}}
{\left({x \over 2}\right)}^{2p+n }\) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:gaf7b3924df2aa81781473dfc547daf604"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga5cba68185585e3a3df8cbf73736e6c81"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_k0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga5cba68185585e3a3df8cbf73736e6c81.html#ga5cba68185585e3a3df8cbf73736e6c81">kyosu::cyl_bessel_k0</a> = {}</td></tr>
<tr class="memdesc:ga5cba68185585e3a3df8cbf73736e6c81"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the modified Bessel function of the second kind, \( K_0(x)=\lim_{\alpha\to 0}{\frac {\pi }{2}}{\frac {I_{-\alpha }(x)-I_{\alpha }(x)}{\sin \alpha \pi }}\). extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:ga5cba68185585e3a3df8cbf73736e6c81"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga9987b97d382dd2cffa30b1b196c161f4"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_k1&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga9987b97d382dd2cffa30b1b196c161f4.html#ga9987b97d382dd2cffa30b1b196c161f4">kyosu::cyl_bessel_k1</a> = {}</td></tr>
<tr class="memdesc:ga9987b97d382dd2cffa30b1b196c161f4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the second kind, \( K_1(x)\lim_{\alpha\to 1}{\frac {\pi }{2}}{\frac {I_{-\alpha }(x)-I_{\alpha }(x)}{\sin \alpha \pi }}\) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="separator:ga9987b97d382dd2cffa30b1b196c161f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga8d722785c9a17473e18bd129e9b611da"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_kn&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga8d722785c9a17473e18bd129e9b611da.html#ga8d722785c9a17473e18bd129e9b611da">kyosu::cyl_bessel_kn</a> = {}</td></tr>
<tr class="memdesc:ga8d722785c9a17473e18bd129e9b611da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the modified Bessel functions of the second kind, \( K_{n}(x)=\lim_{\alpha\to n}{\frac {\pi }{2}}{\frac {I_{-\alpha }(x)-I_{\alpha }(x)}{\sin \alpha \pi }}\). extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:ga8d722785c9a17473e18bd129e9b611da"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_y0&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_gaa83c3abe27e3ecd25b8eccdada1b8f2d.html#gaa83c3abe27e3ecd25b8eccdada1b8f2d">kyosu::cyl_bessel_y0</a> = {}</td></tr>
<tr class="memdesc:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the second kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \) extended to the complex plane and cayley_dickson values. <br /></td></tr>
<tr class="memdesc:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the second kind, \( Y_0(x)=\lim_{\alpha\to 0}{{\frac {J_{\alpha }(x)\cos(\alpha\pi)-J_{-\alpha }(x)}{\sin(\alpha\pi)}}}\), extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:gaa83c3abe27e3ecd25b8eccdada1b8f2d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga658858c9e724f37a163126c8e24b80e5"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_y1&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga658858c9e724f37a163126c8e24b80e5.html#ga658858c9e724f37a163126c8e24b80e5">kyosu::cyl_bessel_y1</a> = {}</td></tr>
<tr class="memdesc:ga658858c9e724f37a163126c8e24b80e5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the Bessel function of the second kind, \( Y_1(x)=\lim_{\alpha\to 1}{{\frac {J_{\alpha }(x)\cos(\alpha\pi)-J_{-\alpha }(x)}{\sin(\alpha\pi)}}}\), extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:ga658858c9e724f37a163126c8e24b80e5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga96400e65eaf1b63c5ab88ba5aff6d818"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_cyl_bessel_yn&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga96400e65eaf1b63c5ab88ba5aff6d818.html#ga96400e65eaf1b63c5ab88ba5aff6d818">kyosu::cyl_bessel_yn</a> = {}</td></tr>
<tr class="memdesc:ga96400e65eaf1b63c5ab88ba5aff6d818"><td class="mdescLeft">&#160;</td><td class="mdescRight">Computes the modified Bessel functions of the second kind, \( Y_n(x)=\lim_{\alpha\to n}{{\frac {J_{\alpha }(x)\cos(\alpha\pi)-J_{-\alpha }(x)}{\sin(\alpha\pi)}}}\), extended to the complex plane and cayley_dickson algebras. <br /></td></tr>
<tr class="separator:ga96400e65eaf1b63c5ab88ba5aff6d818"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ga265f03cd0d4edaaecd88fbcfc3346644"><td class="memItemLeft" align="right" valign="top">constexpr tags::callable_dec&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__functions_ga265f03cd0d4edaaecd88fbcfc3346644.html#ga265f03cd0d4edaaecd88fbcfc3346644">kyosu::dec</a> = {}</td></tr>
<tr class="memdesc:ga265f03cd0d4edaaecd88fbcfc3346644"><td class="mdescLeft">&#160;</td><td class="mdescRight">decrements the argument by 1. <br /></td></tr>
<tr class="separator:ga265f03cd0d4edaaecd88fbcfc3346644"><td class="memSeparator" colspan="2">&#160;</td></tr>
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