Found 37 Documents (Results 1–37)
A multiple \(q\)-translation formula and its implications. (English) Zbl 1535.33017
Reviewer: Thomas Ernst (Uppsala)
On certain results associated with the transformations of generalized hypergeometric series. (English) Zbl 1531.33014
Nonterminating transformations and summations associated with some \(q\)-Mellin-Barnes integrals. (English) Zbl 1542.33021
Several \(q\)-series transformation formulas and new Hecke-Rogers type series identities. (English) Zbl 1509.05033
Generalized homogeneous \(q\)-difference equations for \(q\)-polynomials and their applications to generating functions and fractional \(q\)-integrals. (English) Zbl 1494.39006
On basic Horn hypergeometric functions \(\mathrm{H}_3\) and \(\mathrm{H}_4\). (English) Zbl 1486.33021
New identities for terminating balanced \(_4\phi_3\)-series. (English) Zbl 1448.33017
Reviewer: Zhi-Guo Liu (Shanghai)
New generating function relations for the \(q \)-generalized Cesàro polynomials. (English) Zbl 1416.05044
Askey-Wilson polynomials and a double \(q\)-series transformation formula with twelve parameters. (English) Zbl 1411.05033
Approach of \(q\)-derivative operators to terminating \(q\)-series formulae. (English) Zbl 1412.33015
On \(q\)-integral representations for \(q\)-Hahn and Askey-Wilson polynomials and certain generating functions. (English) Zbl 1410.05011
On double series identities. (English) Zbl 1488.33056
Homogeneous \(q\)-difference equations and generating functions for \(q\)-hypergeometric polynomials. (English) Zbl 1335.05023
A \(q\)-extension of a partial differential equation and the Hahn polynomials. (English) Zbl 1326.05016
Generalizations of Ramanujan’s reciprocity formula and the Askey-Wilson integral. (English) Zbl 1316.33009
\(q\)-difference equations of moment integrals for transformational identities and generating functions. (English) Zbl 1322.05007
\(q\)-difference equations for generalized homogeneous \(q\)-operators and certain generating functions. (English) Zbl 1350.39004
Reviewer: Jacques Sauloy (Toulouse)
Alternative proofs of generating functions for Hahn polynomials and some applications. (English) Zbl 1235.05019
On an identity of Gessel and Stanton and the new little Göllnitz identities. (English) Zbl 1227.05059
Some implications of the WP-Bailey tree. (English) Zbl 1173.33015
Reviewer: Toufik Mansour (Haifa)
Abel’s method on summation by parts and nonterminating \(q\)-series identifies. (English) Zbl 1178.33018
Bilateral Bailey lemma and Rogers-Ramanujan identities. (English) Zbl 1173.33310
Reviewer: Wadim Zudilin (Bonn)
Abel’s method on summation by parts and terminating well-poised \(q\)-series identities. (English) Zbl 1123.33013
Reviewer: Jeremy Lovejoy (Paris)
On simplifications of certain \(q\)-multisums. (English) Zbl 1120.33016
Reviewer: Roelof Koekoek (Delft)
Positivity preserving transformations for \(q\)-binomial coefficients. (English) Zbl 1061.33015
Reviewer: Stamatis Koumandos (Nicosia)
A method for \(q\)-calculus. (English) Zbl 1041.33013
Reviewer: Stamatis Koumandos (Nicosia)
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