H ?1,?2,?3 A Srivastava Hypergeometric Function
, 2018 Formulas and identities involving many well known special functions (such as the Gamma and Betafunctions, Gauss hypergeometric function, and so on) play important roles in themselves and their diverseapplications.
Yağcı, Oğuz, Şahin, Recep
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Boy's Function Computed by Gauss-Jacobi Quadrature
, 2017 Boy's Function F_m(z) that appears in the quantum mechanics of Gaussian Type Orbitals is a special case of Kummer's confluent hypergeometric function. We evaluate its integral representation of a product of a power and an exponential function over the ...
Mathar, Richard J. (8346297) +1 more
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The Gauss hypergeometric function F(a,b;c;z) for large c
, 2006 We consider the Gauss hypergeometric function F(a,b+1;c+2;z) for a,b,c∈C,c≠-2,-3-4,… and |arg(1-z)|
Sinusía, Ester Pérez +2 more
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Certain Integrals of Generalized Hypergeometric and Confuent Hypergeometric Functions
, 2017 In this paper, we aim at establishing certain finite integral formulas for the generalized Gauss hypergeometric and confluent hypergeometric functions. Furthermore, the$F^{(\alpha ,\beta)}_p(a,b;c;z)$-function occurring in each of our main results can be
Kumar, Dinesh
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On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios
Modern Mathematical MethodsThe paper investigates the problem of constructing branched continued fraction expansions of hypergeometric functions \(F_M(a_1,a_2,b_1,b_2;a_1,c_2;\mathbf{z})\) and their ratios.
Ivan Nyzhnyk +2 more
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Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields. [PDF]
Heliyon, 2023 Eyube ES +6 more
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Probability density functions involving a generalized r–Gauss hypergeometric function
Le Matematiche, 2010 The aim of this paper is to study r–generalized gamma functions of a particular form.Moreover, we define a new probability density function (p.d.f) involving these new generalized functions.
Y. Ben Nakhi, S. L. Kalla
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A Generic Formula and Some Special Cases for the Kullback-Leibler Divergence between Central Multivariate Cauchy Distributions. [PDF]
Entropy (Basel), 2022 Bouhlel N, Rousseau D.
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Subordination Involving Gauss Hypergeometric Function
The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination ...
Kumar, Anish, Das, Sourav
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