Results 21 to 30 of about 437 (44)
A simple proof of Bailey's very-well-poised 6-psi-6 summation
, 2000 We give elementary derivations of some classical summation formulae for bilateral (basic) hypergeometric series. In particular, we apply Gauss' 2-F-1 summation and elementary series manipulations to give a simple proof of Dougall's 2-H-2 summation ...
Schlosser, M.
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On q-Laplace Transforms of the q-Bessel Functions [PDF]
, 2007 Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions.
Kalla, S., Purohit, S.
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Proofs of Some Conjectures of Chan on Appell-Lerch Sums
, 2018 On page 3 of his lost notebook, Ramanujan defines the Appell-Lerch sum $$\phi(q):=\sum_{n=0}^\infty \dfrac{(-q;q)_{2n}q^{n+1}}{(q;q^2)_{n+1}^2},$$ which is connected to some of his sixth order mock theta functions. Let $\sum_{n=1}^\infty a(n)q^n:=\phi(q)$
Baruah, Nayandeep Deka +1 more
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Algunas integrales indefinidas que contienen a la función hipergeométrica generalizada
Ingeniería y Ciencia, 2009 En 1999 Nina Virchenko consideró la generalización de la función hipergeométrica de Gauss 2R 1(a, b; c; τ ; z) con un conjunto de fórmulas de recurrenciay de diferenciación.
Jaime Castillo Pérez, Leda Galué
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Algunas integrales que involucran a la función hipergeométrica generalizada
Ingeniería y Ciencia, 2008 Recientemente Virchenko y colaboradores trataron una generalización de la función (ver artículo pdf) donde 2R1 (a, b; c; ; x) es la función hipergeométrica generalizada presentada por Dotsenko en 1991.
Jaime Castillo Pérez
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Semi-Finite Forms of Bilateral Basic Hypergeometric Series [PDF]
, 2005 We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformation formulas.
Chen, William Y. C., Fu, Amy M.
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Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets [PDF]
, 2007 Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[.
Bettaibi, Néji +2 more
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M_2-rank differences for overpartitions
, 2009 This is the third and final installment in our series of papers applying the method of Atkin and Swinnerton-Dyer to deduce formulas for rank differences.
Lovejoy, Jeremy, Osburn, Robert
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Ingeniería y Ciencia, 2007 En 1991 M. Dotsenko presentó una generalización de la función hipergeométrica de Gauss denotada por 2Rτ1 (z), estableciendo además tanto su representación en serie como también su representación integral.
Jaime Castillo Pérez
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Hankel Transform in Quantum Calculus and Applications [PDF]
, 2006 Mathematics Subject Classification: 44A15, 33D15, 81Q99This paper is devoted to study the q-Hankel transform associated with the third q-Bessel function called also Hahn-Exton function.
Haddad, Meniar
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