Results 21 to 30 of about 1,596 (244)
Certain results of hybrid families of special polynomials associated with appell sequences
In this article, the Legendre-Gould-Hopper polynomials are combined with Appell sequences to introduce certain mixed type special polynomials by using operational method. The generating functions, determinant definitions and certain other properties of Legendre-Gould-Hopper based Appell polynomials are derived.
Ghazala Yasmin, Abdulghani Muḥyī
exaly +3 more sources
Finding hybrid families of special matrix polynomials associated with Sheffer sequences
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Shahid Ahmad Wani, Hibah Islahi
exaly +3 more sources
Hermite–Hadamard–Fejér-Type Inequalities and Weighted Three-Point Quadrature Formulae
The goal of this paper is to derive Hermite–Hadamard–Fejér-type inequalities for higher-order convex functions and a general three-point integral formula involving harmonic sequences of polynomials and w-harmonic sequences of functions. In special cases,
Mihaela Ribičić Penava
doaj +1 more source
Matrix Representations of a Special Polynomial Sequence in Arbitrary Dimension [PDF]
The paper is devoted to a special polynomial sequence of binomial type in \((n+1)\) real variables with values in the real vector space of paravectors in a Clifford algebra. It is shown that here the matrix multiplication admits a type of factorization that overcomes the restrictions of non-commutativity and solves some problems connected with a ...
Cação, I. +2 more
openaire +4 more sources
New asymptotic expansions on hyperfactorial functions
In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we establish four general asymptotic expansions for the hyperfactorial functions $\prod _{k=1}^n {k^{k^q}}$, which have only odd power terms or even power terms.
Xu, Jianjun
doaj +1 more source
Sequences of Groups, Hypergroups and Automata of Linear Ordinary Differential Operators
The main objective of our paper is to focus on the study of sequences (finite or countable) of groups and hypergroups of linear differential operators of decreasing orders.
Jan Chvalina +3 more
doaj +1 more source
Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences
Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
doaj +1 more source
λ-q-Sheffer sequence and its applications
Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
doaj +1 more source
On the zeros of a special sequence of polynomials [PDF]
The zeros of the polynomials P n
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Melham's sums for some Lucas polynomial sequences [PDF]
A Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
doaj +1 more source

