Search Results - basic hypergeometric functions of two variables

Transformaciones de la función hipergeométrica básica generalizada de dos variables On transformations involving generalized basic hypergeometric function of two variables by R.K Yadav, S.D Purohit, V.K Vyas

“… derivados.In the present paper, transformations for basic analogue of the Fox’s H-function of one and two variables have been derived by the application of the q-Leibniz rule for the product of two basic functions…”
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On transformations involving generalized basic hypergeometric function of two variables by R. Yadav, S. Purohit, V. Vyas

“…In the present paper, transformations for basic analogue of the Fox”™s H-function of one and two variables have been derived by the application of the q-Leibniz rule for the product of two basic functions…”
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Certain transformations of basic hypergeometric functions of two variables – II by R. K. Saxena, R. Kumar

“…This paper deals with the derivation of certain new transformations for the basic hypergeometric functions of two variables by making use of known summation formulas given earlier by Srivastava [7]. As q…”
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Certain transformations of basic hypergeometric functions of two variables by R. K. Sakena, R. Kumar

“…In this note the authors derive three transformations for the basic hypergeometric functions of two variables by making use of certain known summations formula. As q…”
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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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G-continued fractions for basic hypergeometric functions II by Bowman, Douglas, Choi, Geumlan

“…In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables…”
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Spin 1 Particle With Anomalous Magnetic Moment in External Uniform Electric Field, Solutions With Cylindrical Symmetry by Ivashkevich, Alina, Red'kov, Viktor, Chichurin, Alexander

“… First, we derive the system of 10 equations in partial derivatives for functions Fi(r,z)=Gi(r)Hi(z)(i=1,10‾)$$ {F}_i\left(r,z\right)={G}_i(r){H}_i(z)\kern0.3em \left…”
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Utility of integral representations for basic hypergeometric functions and orthogonal polynomials by Cohl, Howard S., Costas-Santos, Roberto S.

“…We describe the utility of integral representations for sums of basic hypergeometric functions…”
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Transformations of basic hypergeometric series from the viewpoint of substitution of parameter operators by Ma, Xinrong, Wang, Jin

“…In this paper, we propose an operator method arising from the usual substitution of parameters to transformation formulas of basic hypergeometric series…”
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Bivariate Pareto–Feller Distribution Based on Appell Hypergeometric Function by Caamaño-Carrillo, Christian, Bevilacqua, Moreno, Zamudio-Monserratt, Michael, Contreras-Reyes, Javier E.

“…” phenomena, where extreme events such as high incomes or large losses are of interest. In this paper, we present a new bivariate distribution based on the Appell hypergeometric function with marginal Pareto…”
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Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions by Antonova, Tamara, Dmytryshyn, Roman, Kril, Pavlo, Sharyn, Serhii

“… It is proved that the continued fraction, which is an expansion of each ratio, uniformly converges to a holomorphic function of two variables on every compact subset of some domain of C2…”
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The Confluent Hypergeometric Beta Distribution by Nadarajah, Saralees, Kebe, Malick

“…The confluent hypergeometric beta distribution due to Gordy has been known since the 1990s, but not much of is known in terms of its mathematical properties…”
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On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z) by Antonova, Tamara, Dmytryshyn, Roman, Goran, Vitaliy

“…The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence…”
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The Bailey transform and Hecke–Rogers identities for the universal mock theta functions by Ji, Kathy Q., Zhao, Alice X.H.

“…Recently, Garvan obtained two-variable Hecke–Rogers identities for three universal mock theta functions g2(z;q), g3(z;q), K(z;q…”
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Infinite Summation Formulas for Triple Lauricella Hypergeometric Functions by Hasanov, Anvar, Ergashev, Tuhtasin G.

“…Inspired by the work by Brychkov and Saad who gave infinite summation formulas for Appell functions (of two variables…”
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On two double series for π and their q-analogues by Wei, Chuanan

“… , which were conjectured by Guo and Lian recently. Employing the operator just mentioned and a summation formula for basic hypergeometric series, we also give q -analogues of these two…”
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On Some Branched Continued Fraction Expansions for Horn’s Hypergeometric Function H4(a,b;c,d;z1,z2) Ratios by Antonova, Tamara, Dmytryshyn, Roman, Lutsiv, Ilona-Anna, Sharyn, Serhii

“… It is proven that the branched continued fraction, which is an expansion of one of the ratios, uniformly converges to a holomorphic function of two variables on every compact subset of some domain H,H…”
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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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Transformations of certain generalized q-hypergeometric functions of two variables by SRIVASTAVA, H. M, SINGH, S. N, SHUKLA, H. S

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Applications of Tannery's theorem to Bailey's ψ66 summation by Bradley-Thrush, J.G.

“…Ramanujan's ψ11 summation is obtained from Bailey's ψ66 summation by taking a limit and then specializing one of the variables…”
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