AbstractAn identity involving basic Bessel functions and Al-Salam-Chihara polynomials is proved for which we recover Graf's addition formula for the Bessel function as the base q tends to 1. The corresponding product formula is derived. Some known identities for Jackson's q-Bessel functions are obtained as limiting cases. As special cases we prove identities for q-Charlier polynomials
The 6j-symbols for representations of the q-deformed algebra of polynomials on SU(2) are given by Ja...
[[abstract]]In this paper we give the q-analogue of the higher-order Bessel opera- tors studied by M...
Special functions have been used widely in many problems of applied sciences. However, there are con...
AbstractIn this paper we study the q-analogue of the jα Bessel function (see (1)) which results afte...
Abstract. We make a brief survey of orthogonal polynomials which are not included in the Askey schem...
This paper provides the details of Remark 5.4 in the author's paper "Askey-Wilson polynomials as zon...
. A general addition formula for a two-parameter family of AskeyWilson polynomials is derived from t...
This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analo...
In his classic book on group representations and special functions Vilenkin studied the matrix eleme...
We show a connection formula of a linear q-differential equation satisfied by 1ϕ1(0; a; q, x). The b...
AbstractWe study Schur Q-polynomials evaluated on a geometric progression, or equivalently q-enumera...
q analog of bessel functions, symmetric under the interchange of q and q^ −1 are introduced. The def...
AbstractWe use biinfinite Toeplitz matrix analogues of classical and q-binomial identities in a comm...
An Expansion for the Product of Two Bessel Functions.-1.1. An expansion for the product of two Besse...
AbstractWe establish a large n complete asymptotic expansion for q-Laguerre polynomials and a comple...
The 6j-symbols for representations of the q-deformed algebra of polynomials on SU(2) are given by Ja...
[[abstract]]In this paper we give the q-analogue of the higher-order Bessel opera- tors studied by M...
Special functions have been used widely in many problems of applied sciences. However, there are con...
AbstractIn this paper we study the q-analogue of the jα Bessel function (see (1)) which results afte...
Abstract. We make a brief survey of orthogonal polynomials which are not included in the Askey schem...
This paper provides the details of Remark 5.4 in the author's paper "Askey-Wilson polynomials as zon...
. A general addition formula for a two-parameter family of AskeyWilson polynomials is derived from t...
This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analo...
In his classic book on group representations and special functions Vilenkin studied the matrix eleme...
We show a connection formula of a linear q-differential equation satisfied by 1ϕ1(0; a; q, x). The b...
AbstractWe study Schur Q-polynomials evaluated on a geometric progression, or equivalently q-enumera...
q analog of bessel functions, symmetric under the interchange of q and q^ −1 are introduced. The def...
AbstractWe use biinfinite Toeplitz matrix analogues of classical and q-binomial identities in a comm...
An Expansion for the Product of Two Bessel Functions.-1.1. An expansion for the product of two Besse...
AbstractWe establish a large n complete asymptotic expansion for q-Laguerre polynomials and a comple...
The 6j-symbols for representations of the q-deformed algebra of polynomials on SU(2) are given by Ja...
[[abstract]]In this paper we give the q-analogue of the higher-order Bessel opera- tors studied by M...
Special functions have been used widely in many problems of applied sciences. However, there are con...
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