Search Results - Hypergeometric functions in two variables

On integral representations and asymptotics of some hypergeometric functions in two variables by Wald, Sascha, Henkel, Malte

“…The leading asymptotic behaviour of the Humbert functions , , of two variables is found, when the absolute values of the two independent variables become simultaneously large…”
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Certain integral representations involving hypergeometric functions in two variables by Younis, Jihad, Jain, Shilpi, Agarwal, Praveen, Momani, Shaher

“… In this article, we define some new Euler-type integral representations for the Horn's functions of two variables G1, G2, G3 and H1…”
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HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables by Bytev, Vladimir V., Kniehl, Bernd A.

“… The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions. Program title…”
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Asymptotic analysis for confluent hypergeometric function in two variables given by double integral by Haraoka, Yoshishige

“…We study an integrable connection with irregular singularities along a normally crossing divisor. The connection is obtained from an integrable connection of…”
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On integral representations and asymptotics of some hypergeometric functions in two variables by Wald, Sascha, Henkel, Malte

“…The leading asymptotic behaviour of the Humbert functions \(\Phi_2\), \(\Phi_3\), \(\Xi_2\) of two variables is found, when the absolute values of the two independent variables become simultaneosly large…”
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Expansions of Kampe de Feriet hypergeometric functions by Komilova, N.J., Hasanov, A., Ergashev, T.G.

“…When studying the properties of the hypergeometric functions in two variables, expansion formulas are very important, allowing one to represent a function of two variables in the form of an infinite…”
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On the two variables κ -Appell hypergeometric matrix functions by Qadha, Muneera Abdullah, Abdullah Qadha, Sarah, Bakhet, Ahmed

“…This work aims to introduce -Appell hypergeometric matrix functions and , where . New relations for these functions, such as the integral representation…”
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On Hypergeometric Functions of Two Variables of Complexity One by Beloshapka, Valerii K

“…For a series of examples of Horn systems and the Lauricella system for functions of two variables the description of solution of complexity one is given…”
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On the hypergeometric matrix functions of two variables by Dwivedi, Ravi, Sahai, Vivek

“…We introduce the generalized hypergeometric function with matrix parameters. We also define two variable Appell matrix functions and find their regions…”
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Application of Hypergeometric Functions of Two Variables in Wireless Communication Theory by Brychkov, Yu. A., Savischenko, N. V.

“…Hypergeometric functions of several variables are widely used in applied problems, in particular, in the mathematical theory of communication in the problems of calculating the error probabilities…”
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Reduction and transformation formulas for the Appell and related functions in two variables by Srivastava, H. M., Shpot, M. A.

“…In many seemingly diverse areas of applications, reduction, summation, and transformation formulas for various families of hypergeometric functions in one, two, and more variables are potentially…”
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On the basic hypergeometric matrix functions of two variables by Dwivedi, Ravi, Sahai, Vivek

“…We introduce q-hypergeometric matrix functions of one and two variables. The convergence of these matrix functions is examined for both and…”
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HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables by Bytev, V, Kniehl, B

“… The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions…”
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Further investigations on the two variables second Appell hypergeometric matrix function by Abdalla, Mohamed, Abd-Elmageed, Hala, Abul-Ez, Mahmoud, Zayed, Mohra

“… from different points of view. The present paper is devoted to provide further investigations on the two variables second Appell hypergeometric matrix functions…”
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General integral formulas involving Hubert hypergeometric functions of two variables by Atash, Ali, Bellehaj, Saleh

“…In this paper, we have established two general integral formulas involving Humbert hypergeometric functions of two variables ψ2 and 2…”
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Integral and series representations of the Nuttall function by Jankov Maširević, Dragana, Pogány, Tibor K., Burić, Tomislav

“…In this paper we obtain two new integral representation formulae for the Nuttall Qμ,ν(a,b) function…”
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Connections Between the Generalized Marcum Q -Function and a Class of Hypergeometric Functions by Morales-Jimenez, David, Lopez-Martinez, F. Javier, Martos-Naya, Eduardo, Paris, Jose F., Lozano, Angel

“…This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, Φ 3…”
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Note on the Hurwitz–Lerch Zeta Function of Two Variables by Choi, Junesang, Şahin, Recep, Yağcı, Oğuz, Kim, Dojin

“… In this study, by choosing a known extended Hurwitz–Lerch zeta function of two variables, which has been very recently presented, in a systematic way, we propose to establish certain formulas and representations for this extended Hurwitz…”
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Euler-type integral representations for the Kampé de Fériet functions by Ergashev, Tuhtasin G., Hasanov, Anvardjan, Yuldashev, Tursun K.

“… The general form of the integral representations for a Kampé de Fériet function are proved. Conditions, under which these representations are expressed in terms of products of two gen-eralized hypergeometric functions, are found…”
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Unified probability density function involving a confluent hypergeometric function of two variables by Al-Saqabi, B.N., Kalla, S.L., Tuan, V.K.

“…In this paper first we define a new gamma-type function by means of an integral involving the confluent hypergeometric function of two variables Φ 1( a, b, c; w, z…”
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