Advances in the generalized Cesàro polynomials

Advances in the generalized Cesàro polynomials

Cesàro polynomials have been extended in various ways and applied in diverse areas. In this paper, we aim to introduce a multivariable and multiparameter generalization of Cesàro polynomials. Then we explore several generating functions, an addition formula, a differential-recurrence relation, a mu...

Full description

Saved in:

Bibliographic Details
Main Authors:	N. Özmen, E. Erkuş-Duman
Format:	Article
Language:	English
Published:	Academician Ye.A. Buketov Karaganda University 2024-12-01
Series:	Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:	Cesàro polynomials generating function recurrence relation hypergeometric function integral representation
Online Access:	https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/644
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On generalized Hermite polynomials
by: Waleed Mohamed Abd-Elhameed, et al.
Published: (2024-11-01)

New expressions for certain polynomials combining Fibonacci and Lucas polynomials
by: Waleed Mohamed Abd-Elhameed, et al.
Published: (2025-02-01)

On 2-orthogonal polynomials of Laguerre type
by: Khalfa Douak
Published: (1999-01-01)

Summability factors between the absolute Cesàro methods
by: G. Canan Hazar Güleç
Published: (2018-12-01)

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties
by: Yasir A. Madani, et al.
Published: (2025-03-01)

An exact constant on the estimation of the approximation of classes of periodic functions of two variables by Ceśaro means
by: O. G. Rovenska
Published: (2022-03-01)

Some integral properties in the theory of generalized $k-$Bessel matrix functions
by: Carlo Cattani, et al.
Published: (2025-07-01)

NATURAL TRANSFORM AND SPECIAL FUNCTIONS
by: Anil Dhondiram Chindhe, et al.
Published: (2017-03-01)

On a generalized moment integral containing Riemann’s zeta function: Analysis and experiment
by: Michael Milgram, et al.
Published: (2025-04-01)

On branched continued fraction expansions of hypergeometric functions \(F_M\) and their ratios
by: Ivan Nyzhnyk, et al.
Published: (2025-03-01)

Fractional Operator Approach and Hybrid Special Polynomials: The Generalized Gould–Hopper–Bell-Based Appell Polynomials and Their Characteristics
by: Rabeb Sidaoui, et al.
Published: (2025-04-01)

Cesaro Supermodular Order and Archimedean Copulas
by: H.R. Nili Sani, et al.
Published: (2015-03-01)

Complex and distributional weights for sieved ultraspherical polynomials
by: Jairo A. Charris, et al.
Published: (1996-01-01)

New extensions of associated Laguerre polynomials
by: Ahmed Ali Al-Gonah
Published: (2020-12-01)

A class of orthogonal polynomials of a new type
by: M. Dutta, et al.
Published: (1983-01-01)

A new extended multivariable Horn function
by: Priyanka Gupta, et al.
Published: (2024-12-01)

An application of hypergeometric functions to a problem in function theory
by: Daniel S. Moak
Published: (1984-01-01)

On ρ−statistical convergence of order α of sequences of function
by: Nazlım Deniz Aral, et al.
Published: (2022-12-01)

Hardy space of Clausen's and Goursat's hypergeometric functions
by: Jocelyn Johnson, et al.
Published: (2025-04-01)

Exact Expressions for Kullback–Leibler Divergence for Univariate Distributions
by: Victor Nawa, et al.
Published: (2024-11-01)

Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences
by: Bağdagül Kartal
Published: (2022-12-01)

Summation identities for the Kummer confluent hypergeometric function 1F1(a; b;z)
by: Gradimir V. Milovanović, et al.
Published: (2023-07-01)

Orthogonal polynomials and generalized Gauss-Rys quadrature formulae
by: Gradimir Milovanovic, et al.
Published: (2021-12-01)

Recurrence Relations for Jacobi Orthogonal Polynomials on the Triangular Domain
by: Wala’a A. AlKasasbeh, et al.
Published: (2025-07-01)

The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties
by: Ahmed Atash, et al.
Published: (2025-07-01)

Belyi Maps from Zeroes of Hypergeometric Polynomials
by: Raimundas Vidunas
Published: (2025-01-01)

An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation
by: Saiful R. Mondal, et al.
Published: (2025-04-01)

ON GENERALIZED EIGHTH ORDER MOCK THETA FUNCTIONS
by: Pramod Kumar Rawat
Published: (2020-07-01)

A new class of generalized Apostol–type Frobenius–Euler polynomials
by: Letelier Castilla, et al.
Published: (2025-02-01)

A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE
by: W. Benamira, et al.
Published: (2024-12-01)

A New Generalization of <i>m</i>th-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials
by: Waseem Ahmad Khan, et al.
Published: (2025-07-01)

Bilateral generating functions for a new class of generalized Legendre polynominals
by: A. N. Srivastava, et al.
Published: (1980-01-01)

New Subclass of Meromorphic Functions Associated with Hypergeometric Function
by: Mohamed Khadr, et al.
Published: (2021-12-01)

A pair of biorthogonal polynomials for the Szegö-Hermite weight function
by: N. K. Thakare, et al.
Published: (1988-01-01)

Some identities of bivariate Pell and bivariate Pell-Lucas polynomials
by: Yashwant Panwar
Published: (2023-12-01)

EVALUATION OF THE NON-ELEMENTARY INTEGRAL \(\int e^{\lambda x^\alpha}dx\), \(\alpha\ge 2\), AND OTHER RELATED INTEGRALS
by: Victor Nijimbere
Published: (2017-12-01)

Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function
by: Umar Muhammad Abubakar
Published: (2022-03-01)

New Generating Function Relations for the q-Generalized Cesàro Polynomials
by: Nejla Özmen
Published: (2019-01-01)

On the Bifurcation Behavior of Decoupled Systems of Difference Equations
by: Saleem Al-Ashhab, et al.
Published: (2025-05-01)

A new family of q-Bernstein polynomials: probabilistic viewpoint
by: Ayse Karagenc, et al.
Published: (2025-12-01)