Add to ORKGAfter obtaining some useful identities, we prove an additional functional relation for $q$ exponentials with reversed order of multiplication, as well as the well known direct one in a completely rigorous manner
In the spirit of our earlier articles on $q-\omega$ special functions, the purpose of this article i...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
AbstractThe inverse of Fedou's insertion-shift bijection is used to deduce a general form for the q-...
We revisit the q-deformed counterpart of the Zassenhaus formula, expressing the Jackson q-exponentia...
AbstractIn this paper, we show how to use the q-exponential operator techniques to derive a transfor...
Here we will show the behavior of some of q-functions. In particular we plot the q-exponential and t...
ABSTRACT. There are presently three distinct q-analogues of the Lagrange inversion problem. By relat...
Motivated by the physical applications of q-calculus and of q-deformations, the aim of this paper is...
AbstractThere are two q-analogues for the exponential function, and each of them appears naturally a...
We investigate arithmetic properties of values of the entire function F(z) = F<sub>q</sub>(z;λ)=[for...
In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-c...
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
For |q| ≠ 1, the integral definition of the gamma function in terms of the exponential function is g...
AbstractSome years ago Gessel [8] gave a q-analogue of the celebrated exponential formula. We presen...
Some properties of the q-exponential functions, standard and symmetric, are investigated for general...
In the spirit of our earlier articles on $q-\omega$ special functions, the purpose of this article i...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
AbstractThe inverse of Fedou's insertion-shift bijection is used to deduce a general form for the q-...
We revisit the q-deformed counterpart of the Zassenhaus formula, expressing the Jackson q-exponentia...
AbstractIn this paper, we show how to use the q-exponential operator techniques to derive a transfor...
Here we will show the behavior of some of q-functions. In particular we plot the q-exponential and t...
ABSTRACT. There are presently three distinct q-analogues of the Lagrange inversion problem. By relat...
Motivated by the physical applications of q-calculus and of q-deformations, the aim of this paper is...
AbstractThere are two q-analogues for the exponential function, and each of them appears naturally a...
We investigate arithmetic properties of values of the entire function F(z) = F<sub>q</sub>(z;λ)=[for...
In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-c...
We present three q-Taylor formulas with q-integral remainder. The two last proofs require a slight r...
For |q| ≠ 1, the integral definition of the gamma function in terms of the exponential function is g...
AbstractSome years ago Gessel [8] gave a q-analogue of the celebrated exponential formula. We presen...
Some properties of the q-exponential functions, standard and symmetric, are investigated for general...
In the spirit of our earlier articles on $q-\omega$ special functions, the purpose of this article i...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
AbstractThe inverse of Fedou's insertion-shift bijection is used to deduce a general form for the q-...