18 citations · 46 across the 10 of their papers we have counts for
4 papers · 1 filter
Generalized q-difference equations for general q-polynomials with double q-binomial coefficients
Jian Cao, Sama Arjika, Mahouton Norbert Hounkonnou
In this paper, we use the generalized q-polynomials with double q-binomial coefficients and homogeneous q-operators [J. Difference Equ. Appl. 20 (2014), 837--851.] to construct q-d…
A note on generalized -difference equations for general Al-Salam--Carlitz polynomials
Jian Cao, Binbin Xu, Sama Arjika
In this paper, we deduce the generalized -difference equations for general Al-Salam--Carlitz polynomials and generalize Arjika's recently results [-difference equation for ho…
A Note on Generalized -Difference Equations and Their Applications Involving -Hypergeometric Functions
Hari Mohan Srivastava, Jian Cao, Sama Arjika
In this paper, we use two -operators and to derive two potentially useful generalizations of the -binomial theorem,…
An analytic generalization of the Catalan numbers and its integral representation
Wen-Hui Li, Jian Cao, Da-Wei Niu +2
In the paper, the authors analytically generalize the Catalan numbers in combinatorial number theory, establish an integral representation of the analytic generalization of the Cat…