Suchergebnisse - Nonterminating basic hypergeometric functions

Nonterminating transformations and summations associated with some q-Mellin–Barnes integrals von Cohl, Howard S., Costas-Santos, Roberto S.

“… We derive some interesting q-Mellin–Barnes integrals and using them we derive transformation and summation formulas for nonterminating basic hypergeometric functions …”
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Nonterminating transformations and summations associated with some q-Mellin--Barnes integrals von Cohl, Howard S, Costas-Santos, Roberto S

“… We derive some interesting \(q\)-Mellin--Barnes integrals and using them we derive transformation and summation formulas for nonterminating basic hypergeometric functions …”
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A \(q\)-Chaundy representation for the product of two nonterminating basic hypergeometric series and symmetric and dual relations von Cohl, Howard S, Costas-Santos, Roberto S

“… \)-Chaundy theorem which expresses a product of two nonterminating basic hypergeometric series as a sum over a terminating basic hypergeometric series, we study generating functions for the symmetric …”
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Product formulas for basic hypergeometric series by evaluations of Askey--Wilson polynomials von Cohl, Howard, Schlosser, Michael

“… ) nonterminating basic hypergeometric functions. We provide a generalization of that generating function which contains an extra parameter …”
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Two new transformation formulas of basic hypergeometric series von Zhang, Caihuan, Zhang, Zhizheng

“… These contain several important identities for basic hypergeometric series as special cases, including the nonterminating q …”
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Another class of nonterminating F23-series with a free argument von Li, Nadia N., Chu, Wenchang

“… By means of the linearization method, we evaluate another class of nonterminating F 2 3 -series with a free argument x and two perturbing integer parameters m …”
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A symmetric formula for hypergeometric series von Wei, Chuanan

“… In terms of Dougall’s 2 H 2 series identity and the series rearrangement method, we establish a symmetric formula for hypergeometric series …”
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Utility of integral representations for basic hypergeometric functions and orthogonal polynomials von Cohl, Howard S., Costas-Santos, Roberto S.

“… We describe the utility of integral representations for sums of basic hypergeometric functions …”
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Generalizations of a terminating summation formula of basic hypergeometric series and their applications von Zhu, Jun-Ming

“… We generalize a terminating summation formula to a unilateral nonterminating, and further, a bilateral summation formula by a property of analytic functions …”
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Some Summation Formulae for Nonterminating Basic Hypergeometric Series von Verma, A., Jain, V. K.

“… Basic hypergeometric series extensions of some classical results on hypergeometric series are obtaitied …”
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Utility of integral representations for basic hypergeometric functions and orthogonal polynomials von Cohl, Howard S, Costas-Santos, Roberto S

“… We describe the utility of integral representations for sums of basic hypergeometric functions …”
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Summations for basic hypergeometric series involving a q-analogue of the digamma function von Krattenthaler, C., Srivastava, H.M.

“… At the result side of the basic hypergeometric summations, there appears a q-analogue of the digamma function …”
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Bisection Series Approach for Exotic 3F2(1)-Series von Chen, Marta Na, Chu, Wenchang

“… By employing the bisection series approach, two classes of nonterminating 3F2(1)-series are examined …”
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A Nonterminating q -Clausen Formula and Some Related Product Formulas von Gasper, George, Rahman, Mizan

“… $-ultraspherical polynomials and a quadratic transformation formula for well-poised basic hypergeometric _2 \phi _1 …”
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The Saalschütz chain reactions and bilateral basic hypergeometric series von Chu, Wenchang

“… ]. These transformations further yield a number of closed formulas of very well-poised bilateral basic hypergeometric series …”
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Generalizations of a terminating summation formula of basic hypergeometric series and their applications von Jun-Ming, Zhu

“… We generalize a terminating summation formula to a unilateral nonterminating, and further, a bilateral summation formula by a property of analytic functions …”
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Basic bilateral very well-poised series and Shukla's 8ψ8-summation formula von WENCHANG CHU, XIAOXIA WANG

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The q -WZ method for infinite series von Chen, William Y.C., Xia, Ernest X.W.

“… in the approach of Chen, Hou and Mu to prove nonterminating basic hypergeometric series identities …”
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A unified approach to the summation and integration formulas for q-hypergeometric functions I von Rahman, Mizan, Suslov, SergeĭK.

“… The most basic summation formula in the theory of q-hypergeometric functions is the well-known q-binomial formula …”
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Positivity of the Poisson Kernel for the Continuous q -Jacobi Polynomials and Some Quadratic Transformation Formulas for Basic Hypergeometric Series von Gasper, George, Rahman, Mizan

“… A nonterminating extension of the Sears-Carlitz quadratic transformation formula for a well-posed _3 \phi _2 …”
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