Results 21 to 30 of about 105 (94)

Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

Demonstratio Mathematica, 2022
In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of ...
Chen Xue-Yan, Wu Lan, Lim Dongkyu, Qi Feng   +3 more
doaj   +1 more source

A study on a type of degenerate poly-Dedekind sums

Demonstratio Mathematica
Dedekind sums and their generalizations are defined in terms of Bernoulli functions and their generalizations. As a new generalization of the Dedekind sums, the degenerate poly-Dedekind sums, which are obtained from the Dedekind sums by replacing ...
Ma Yuankui, Luo Lingling, Kim Taekyun, Li Hongze, Zhang Wenpeng   +4 more
doaj   +1 more source

On modified degenerate Carlitz q-Bernoulli numbers and polynomials [PDF]

, 2017
In a recent study by Kim (Bull. Korean Math. Soc. 53(4):1149-1156, 2016 ) an attempt was made to examine some of the identities and properties that are related to the degenerate Carlitz q -Bernoulli numbers and polynomials.
Jeong Gon Lee, Jang, Lee-Chae, Lee-Chae Jang, Lee, Jeong   +3 more
core   +2 more sources

Orthogonalizing q-Bernoulli polynomials

Demonstratio Mathematica
In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials.
Kuş Semra, Tuglu Naim
doaj   +1 more source

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
doaj   +1 more source

Asymptotic approximations of Apostol-Frobenius-Euler polynomials of order α in terms of hyperbolic functions

Demonstratio Mathematica
The study of special functions has become an enthralling area in mathematics because of its properties and wide range of applications that are relevant into other fields of knowledge.
Corcino Cristina B., Castañeda Wilson D., Corcino Roberto B.   +2 more
doaj   +1 more source

Unified representation of the family of L-functions

, 2013
The aim of this paper is to unify the family of L-functions. By using the generating functions of the Bernoulli, Euler and Genocchi polynomials, we construct unification of the L-functions. We also derive new identities related to these functions.
Şimşek, Yılmaz
core   +1 more source

Some array polynomials over special monoid presentations [PDF]

, 2013
In a recent joint paper (Cevik et al. in Hacet. J. Math. Stat., acceptted), the authors have investigated the p-Cockcroft property (or, equivalently, efficiency) for a presentation, say , of the semi-direct product of a free abelian monoid rank two by a ...
Das, Kinkar Chandra, Çevik, Ahmet Sinan, Şimşek, Yılmaz   +2 more
core   +1 more source

A kind of identities related to Riemann zeta-function

Open Mathematics
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
doaj   +1 more source

Some identities involving appell polynomials

, 2020
In this paper, by the classical umbral calculus method, we establishidentities involving the Appell polynomials and extend some existing identities.Mathematics Subject Classication (2010): 05A40, 11B68, 70H03.Key words: Classical umbral calculus, Appell ...
Taharbouchet, Said, Mihoubi, Miloud
core