The \((p,q)\)-sine and \((p,q)\)-cosine polynomials and their associated \((p,q)\)-polynomials

DOI10.1515/anly-2023-0042OpenAlexW4389142210MaRDI QIDQ6151055

Nabiullah Khan, Talha Usman, Junesang Choi, Saddam Husain

Publication date: 9 February 2024

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2023-0042

zbMATH Keywords

\((p, q)\)-calculusStirling number of second kind\((p, q)\)-cosine polynomials\((p, q)\)-sine polynomials\(\lambda\)-array type polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Special sequences and polynomials (11B83)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symbolic computation of some power-trigonometric series
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• An integral transform involving the product of Bessel functions and Whittaker function and its application
• Analysis of Bell based Euler polynomials and their application
• Integral transforms involving the product of Humbert and Bessel functions and its application
• An advanced method for evaluating Lommel integral and its application in marine environment
• Evaluation of integral transforms using special functions with applications to biological tissues
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• On \((p,q)\)-Appell polynomials
• An integral transform and its application in the propagation of Lorentz-Gaussian beams
• A (p, q)-oscillator realization of two-parameter quantum algebras
• The Clebsch-Gordan coefficients for the two-parameter quantum algebra SU_p,q(2) in the Lowdin-Shapiro approach
• On two (p, q)-analogues of the Laplace transform
• Generalized Stirling Numbers, Convolution Formulae and p, q-Analogues
• Sine and cosine types of generating functions
• On two bivariate kinds of (p, q)-Bernoulli polynomials
• Quantum calculus
• A family of Apostol-Euler polynomials associated with Bell polynomials

This page was built for publication: The \((p,q)\)-sine and \((p,q)\)-cosine polynomials and their associated \((p,q)\)-polynomials