Yazar "Khan, Waseem Ahmad" için listeleme
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Apostol type (p, q)-Frobenius-Eulerian polynomials and numbers
Khan, Waseem Ahmad; Khan, Idrees A.; Duran, Uğur; Açıkgöz, Mehmet (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
Khan, Waseem Ahmad; Khan, Idrees A.; Duran, Uğur; Açıkgöz, Mehmet (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, ... -
Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials
Khan, Waseem Ahmad; Alatawi, Maryam Salem; Duran, Uğur (Wiley, 2023)In this study, we introduce sine and cosine Bell-based Frobenius-type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations ... -
Diverse Properties and Approximate Roots for a Novel Kinds of the (p, q)-Cosine and (p, q)-Sine Geometric Polynomials
Sharma, Sunil Kumar; Khan, Waseem Ahmad; Ryoo, Cheon-Seoung; Duran, Uğur (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 ... -
The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp
Khan, Waseem Ahmad; Younis, Jihad; Duran, Uğur; Iqbal, Azhar (Routledge, 2022)In this paper, the higher-order type 2 Daehee polynomials are introduced and some of their relations and properties are derived. Then, some p-adic integral representations of not only higher-order type 2 Daehee polynomials ... -
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Natural Sciences Publishing USA, 2018)In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ... -
A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange-Hermite Polynomials
Muhiuddin, Ghulam; Khan, Waseem Ahmad; Duran, Uğur; Al-Kadi, Deena (MDPI, 2021)The purpose of this paper is to construct a unified generating function involving the families of the higher-order hypergeometric Bernoulli polynomials and Lagrange-Hermite polynomials. Using the generating function and ... -
A novel kind of hermite based frobenius type Eulerian polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Açıkgöz, Mehmet; Duran, Uğur (Jangjeon Research Institute for Mathematical Sciences and Physics, 2019)We introduce a new kind of extended Hermite-based Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation equations including some symmetric formulas by utilizing series manupulation ... -
Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials
Khan, Waseem Ahmad; Alatawi, Maryam Salem; Ryoo, Cheon Seoung; Duran, Uğur (MDPI, 2023)The main purpose of this paper is to consider q-sine-based and q-cosine-Based q-Fubini polynomials and is to investigate diverse properties of these polynomials. Furthermore, multifarious correlations including q-analogues ... -
On (p, q)-Sine and (p, q)-Cosine Fubini Polynomials
Khan, Waseem Ahmad; Muhiuddin, Ghulam; Duran, Uğur; Al-Kadi, Deena (MDPI, 2022)In recent years, (p, q)-special polynomials, such as (p, q)-Euler, (p, q)-Genocchi, (p, q)-Bernoulli, and (p, q)-Frobenius-Euler, have been studied and investigated by many mathematicians, as well physicists. It is important ... -
On unified gould-hopper based apostol-type polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Açıkgöz, Mehmet; Duran, Uğur; Abusufian, Abdallah Hassan (International Scientific Research Publications, 2021)In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation ... -
On unified gould-hopper based apostol-type polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Açıkgöz, Mehmet; Duran, Uğur; Abusufian, Abdallah Hassan (International Scientific Research Publications, 2022)In this paper, we consider unified Gould-Hopper based Apostol-type polynomials and investigate some of their formulas including several implicit summation formulae and some symmetric identities by the series manipulation ... -
Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable
Muhiuddin, G.; Khan, Waseem Ahmad; Duran, Uğur; Al-Kadi, Deena S. (Hindawi Limited, 2021)In this paper, we introduce degenerate multi-poly-Bernoulli polynomials and derive some identities of these polynomials. We give some relationship between degenerate multi-poly-Bernoulli polynomials degenerate Whitney ... -
Two-Variable Type 2 Poly-Fubini Polynomials
Muhiuddin, Ghulam; Khan, Waseem Ahmad; Duran, Uğur (MDPI, 2021)In the present work, a new extension of the two-variable Fubini polynomials is introduced by means of the polyexponential function, which is called the two-variable type 2 poly-Fubini polynomials. Then, some useful relations ...