Results 21 to 30 of about 444 (53)
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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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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Ramanujan-type formulae for $1/\pi$: $q$-analogues
, 2018 The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of $\pi$, Archimedes' constant, remain an attractive object of arithmetic study.
Guo, Victor J. W., Zudilin, Wadim
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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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Mock Jacobi forms in basic hypergeometric series
, 2008 We show that some $q$-series such as universal mock theta functions are linear sums of theta quotients and mock Jacobi forms of weight 1/2, which become holomorphic parts of real analytic modular forms when they are restricted to torsion points and ...
Andrews +4 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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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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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
doaj
A generalization of starlike functions of order alpha [PDF]
, 2015 For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
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