Konu "(p, q)-calculus" için listeleme
Toplam kayıt 7, listelenen: 1-7
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Apostol type (p, q)-Frobenius-Eulerian polynomials and numbers
(Springer, 2020)The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius-Eulerian numbers and polynomials and investigate some of their basic identities and properties including addition theorems, difference equations, ... -
Apostol type (p, q)-Frobenius–Eulerian polynomials and numbers
(Springer, 2021)The main purpose of this paper is to introduce Apostol type (p, q)-Frobenius–Eulerian numbers and polynomials and investigate some of their basic identities and properties including addition theorems, difference equations, ... -
Diverse Properties and Approximate Roots for a Novel Kinds of the (p, q)-Cosine and (p, q)-Sine Geometric Polynomials
(MDPI, 2022)Utilizing (p, q)-numbers and (p, q)-concepts, in 2016, Duran et al. considered (p, q)-Genocchi numbers and polynomials, (p, q)-Bernoulli numbers and polynomials and (p, q)-Euler polynomials and numbers and provided ... -
Generalized Apostol Type Polynomials Based on Twin-Basic Numbers
(Rgn Publ, 2020)In this work, we consider a class of new generating function for (p, q)-analog of Apostol type polynomials of order alpha including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ... -
On Two Bivariate Kinds of (p,q)-Bernoulli Polynomials
(University of Miskolc, 2019)The main aim of this paper is to introduce and investigate (p, q)-extensions of two bivariate kinds of Bernoulli polynomials and numbers. We firstly examine several (p, q)-analogues of the Taylor expansions of products of ... -
A Study on Some New Results Arising from (p, q)-Calculus
(Institute of Applied Mathematics, 2020)This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ... -
Unified (p, q)-analog of Apostol Type Polynomials of Order alpha
(University of Nis, 2018)In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...
