.. _library_specfun:

``library.specfun`` Submodule
=============================

.. automodule:: naginterfaces.library.specfun
   :no-members:

.. toctree::
   :hidden:

   naginterfaces.library.specfun.airy_ai_complex
   naginterfaces.library.specfun.airy_ai_deriv
   naginterfaces.library.specfun.airy_ai_deriv_vector
   naginterfaces.library.specfun.airy_ai_real
   naginterfaces.library.specfun.airy_ai_real_vector
   naginterfaces.library.specfun.airy_bi_complex
   naginterfaces.library.specfun.airy_bi_deriv
   naginterfaces.library.specfun.airy_bi_deriv_vector
   naginterfaces.library.specfun.airy_bi_real
   naginterfaces.library.specfun.airy_bi_real_vector
   naginterfaces.library.specfun.arccos
   naginterfaces.library.specfun.arccosh
   naginterfaces.library.specfun.arcsin
   naginterfaces.library.specfun.arcsinh
   naginterfaces.library.specfun.arctanh
   naginterfaces.library.specfun.bessel_i0_real
   naginterfaces.library.specfun.bessel_i0_real_vector
   naginterfaces.library.specfun.bessel_i0_scaled
   naginterfaces.library.specfun.bessel_i0_scaled_vector
   naginterfaces.library.specfun.bessel_i1_real
   naginterfaces.library.specfun.bessel_i1_real_vector
   naginterfaces.library.specfun.bessel_i1_scaled
   naginterfaces.library.specfun.bessel_i1_scaled_vector
   naginterfaces.library.specfun.bessel_i_complex
   naginterfaces.library.specfun.bessel_j0_real
   naginterfaces.library.specfun.bessel_j0_real_vector
   naginterfaces.library.specfun.bessel_j1_real
   naginterfaces.library.specfun.bessel_j1_real_vector
   naginterfaces.library.specfun.bessel_j_complex
   naginterfaces.library.specfun.bessel_j_seq_complex
   naginterfaces.library.specfun.bessel_k0_real
   naginterfaces.library.specfun.bessel_k0_real_vector
   naginterfaces.library.specfun.bessel_k0_scaled
   naginterfaces.library.specfun.bessel_k0_scaled_vector
   naginterfaces.library.specfun.bessel_k1_real
   naginterfaces.library.specfun.bessel_k1_real_vector
   naginterfaces.library.specfun.bessel_k1_scaled
   naginterfaces.library.specfun.bessel_k1_scaled_vector
   naginterfaces.library.specfun.bessel_k_complex
   naginterfaces.library.specfun.bessel_y0_real
   naginterfaces.library.specfun.bessel_y0_real_vector
   naginterfaces.library.specfun.bessel_y1_real
   naginterfaces.library.specfun.bessel_y1_real_vector
   naginterfaces.library.specfun.bessel_y_complex
   naginterfaces.library.specfun.bessel_zeros
   naginterfaces.library.specfun.beta_incomplete
   naginterfaces.library.specfun.beta_incomplete_vector
   naginterfaces.library.specfun.beta_log_real
   naginterfaces.library.specfun.beta_log_real_vector
   naginterfaces.library.specfun.cdf_normal
   naginterfaces.library.specfun.cdf_normal_vector
   naginterfaces.library.specfun.compcdf_normal
   naginterfaces.library.specfun.compcdf_normal_vector
   naginterfaces.library.specfun.cosh
   naginterfaces.library.specfun.dawson
   naginterfaces.library.specfun.dawson_vector
   naginterfaces.library.specfun.ellipint_complete_1
   naginterfaces.library.specfun.ellipint_complete_2
   naginterfaces.library.specfun.ellipint_general_2
   naginterfaces.library.specfun.ellipint_legendre_1
   naginterfaces.library.specfun.ellipint_legendre_2
   naginterfaces.library.specfun.ellipint_legendre_3
   naginterfaces.library.specfun.ellipint_symm_1
   naginterfaces.library.specfun.ellipint_symm_1_degen
   naginterfaces.library.specfun.ellipint_symm_2
   naginterfaces.library.specfun.ellipint_symm_3
   naginterfaces.library.specfun.erfc_complex
   naginterfaces.library.specfun.erfc_complex_vector
   naginterfaces.library.specfun.erfc_real
   naginterfaces.library.specfun.erfc_real_vector
   naginterfaces.library.specfun.erfcx_real
   naginterfaces.library.specfun.erfcx_real_vector
   naginterfaces.library.specfun.erf_real
   naginterfaces.library.specfun.erf_real_vector
   naginterfaces.library.specfun.exp_complex
   naginterfaces.library.specfun.fresnel_c
   naginterfaces.library.specfun.fresnel_c_vector
   naginterfaces.library.specfun.fresnel_s
   naginterfaces.library.specfun.fresnel_s_vector
   naginterfaces.library.specfun.gamma
   naginterfaces.library.specfun.gamma_incomplete
   naginterfaces.library.specfun.gamma_incomplete_vector
   naginterfaces.library.specfun.gamma_log_complex
   naginterfaces.library.specfun.gamma_log_real
   naginterfaces.library.specfun.gamma_log_real_vector
   naginterfaces.library.specfun.gamma_log_scaled_real
   naginterfaces.library.specfun.gamma_vector
   naginterfaces.library.specfun.hankel_complex
   naginterfaces.library.specfun.hyperg_confl_real
   naginterfaces.library.specfun.hyperg_confl_real_scaled
   naginterfaces.library.specfun.hyperg_gauss_real
   naginterfaces.library.specfun.hyperg_gauss_real_scaled
   naginterfaces.library.specfun.integral_cos
   naginterfaces.library.specfun.integral_exp
   naginterfaces.library.specfun.integral_sin
   naginterfaces.library.specfun.jacellip_complex
   naginterfaces.library.specfun.jacellip_real
   naginterfaces.library.specfun.jactheta_real
   naginterfaces.library.specfun.kelvin_bei
   naginterfaces.library.specfun.kelvin_bei_vector
   naginterfaces.library.specfun.kelvin_ber
   naginterfaces.library.specfun.kelvin_ber_vector
   naginterfaces.library.specfun.kelvin_kei
   naginterfaces.library.specfun.kelvin_kei_vector
   naginterfaces.library.specfun.kelvin_ker
   naginterfaces.library.specfun.kelvin_ker_vector
   naginterfaces.library.specfun.legendre_p
   naginterfaces.library.specfun.log_shifted
   naginterfaces.library.specfun.mathieu_ang_periodic_real
   naginterfaces.library.specfun.opt_amer_bs_price
   naginterfaces.library.specfun.opt_asian_geom_greeks
   naginterfaces.library.specfun.opt_asian_geom_price
   naginterfaces.library.specfun.opt_barrier_std_price
   naginterfaces.library.specfun.opt_binary_aon_greeks
   naginterfaces.library.specfun.opt_binary_aon_price
   naginterfaces.library.specfun.opt_binary_con_greeks
   naginterfaces.library.specfun.opt_binary_con_price
   naginterfaces.library.specfun.opt_bsm_greeks
   naginterfaces.library.specfun.opt_bsm_price
   naginterfaces.library.specfun.opt_heston_greeks
   naginterfaces.library.specfun.opt_heston_more_greeks
   naginterfaces.library.specfun.opt_heston_price
   naginterfaces.library.specfun.opt_heston_term
   naginterfaces.library.specfun.opt_imp_vol
   naginterfaces.library.specfun.opt_jumpdiff_merton_greeks
   naginterfaces.library.specfun.opt_jumpdiff_merton_price
   naginterfaces.library.specfun.opt_lookback_fls_greeks
   naginterfaces.library.specfun.opt_lookback_fls_price
   naginterfaces.library.specfun.polygamma
   naginterfaces.library.specfun.polygamma_deriv
   naginterfaces.library.specfun.psi_deriv_complex
   naginterfaces.library.specfun.psi_deriv_real
   naginterfaces.library.specfun.sinh
   naginterfaces.library.specfun.struve_h0
   naginterfaces.library.specfun.struve_h1
   naginterfaces.library.specfun.struve_i0ml0
   naginterfaces.library.specfun.struve_i1ml1
   naginterfaces.library.specfun.struve_l0
   naginterfaces.library.specfun.struve_l1
   naginterfaces.library.specfun.tan
   naginterfaces.library.specfun.tanh

.. _library_specfun_ex:

Examples
--------

.. autofunction:: naginterfaces.library.examples.specfun.opt_bsm_price_ex.main
.. autofunction:: naginterfaces.library.examples.specfun.opt_heston_more_greeks_ex.main