AbstractIn this paper, we give an extension of the q-beta integral. Applications of the extension are also given, which include to derive an extension of the q-Pfaff–Saalschütz formula, an extension of the Kalnins and Miller transformations and a new identity for ϕ23
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
In this paper, we treat a q-Laplace transformation in f(x) = Σ((a_n / (n!)_q) * x^n)[0..∞]. In the f...
AbstractIn this paper, we use the q-Chu–Vandermonde formula to derive a recurring q-integral formula...
AbstractIn this paper, we use the Andrews–Askey integral and the q-Chu–Vandermonde formula to derive...
AbstractIn this paper, we use the generalized Andrews–Askey integral and Milne’s U(n+1)q-binomial th...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
AbstractWe investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers
AbstractIn this paper we establish a q-analogue of a congruence of Sun concerning the products of bi...
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
AbstractIn this paper we derive some asymptotic formulas for the q-Gamma function Γq(z) for q tendin...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractAn upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinst...
We give a formula for [scubscript sλ/μ](1,q,q[superscript 2],…)/sscubscript λ](1,q,q[superscript 2]...
AbstractWe show that the basic hypergeometric functionsFk(ω)≔∏i=1r(ai;q)k(q;q)k∏j=1s(bj;q)kωk(−1)kq(...
AbstractIn this paper, we introduce the generalized q-Bernstein polynomials based on the q-integers ...
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
In this paper, we treat a q-Laplace transformation in f(x) = Σ((a_n / (n!)_q) * x^n)[0..∞]. In the f...
AbstractIn this paper, we use the q-Chu–Vandermonde formula to derive a recurring q-integral formula...
AbstractIn this paper, we use the Andrews–Askey integral and the q-Chu–Vandermonde formula to derive...
AbstractIn this paper, we use the generalized Andrews–Askey integral and Milne’s U(n+1)q-binomial th...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
AbstractWe investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers
AbstractIn this paper we establish a q-analogue of a congruence of Sun concerning the products of bi...
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
AbstractIn this paper we derive some asymptotic formulas for the q-Gamma function Γq(z) for q tendin...
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractAn upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinst...
We give a formula for [scubscript sλ/μ](1,q,q[superscript 2],…)/sscubscript λ](1,q,q[superscript 2]...
AbstractWe show that the basic hypergeometric functionsFk(ω)≔∏i=1r(ai;q)k(q;q)k∏j=1s(bj;q)kωk(−1)kq(...
AbstractIn this paper, we introduce the generalized q-Bernstein polynomials based on the q-integers ...
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
In this paper, we treat a q-Laplace transformation in f(x) = Σ((a_n / (n!)_q) * x^n)[0..∞]. In the f...
AbstractIn this paper, we use the q-Chu–Vandermonde formula to derive a recurring q-integral formula...
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