Results 21 to 30 of about 96 (94)

On a bivariate kind of q-Bernoulli polynomials

, 2022
Two bivariate kinds of q-Bernoulli polynomials are introduced and several of their properties are stated and proved. AMS Mathematics Subject Classification (2020): 11B68, 05A30, 33D70.Bulletin t. 156 de l'Académie serbe des sciences et des arts. Classe
Koepf, W., Njionou Sadjang, Patrick, Masjed-Jamei, M.   +2 more
core  

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 some conjectures on the monotonicity of some arithmetical sequences [PDF]

, 2012
2010 Mathematics Subject Classification: Primary 11B65, 11B68, 05A10; Secondary 11B83.Here, we prove some conjectures on the monotony of combinatorial and number– theoretical sequences from a recent paper of Zhi–Wei ...
Luca, Florian, Stănică, Pantelimon
core  

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

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

Linear Algebraic Approach to Formulate A New Recurrence Relation for Bernoulli Numbers from the Power-Sum of Natural Numbers with Experiments on Pedagogy

, 2021
In this article, a new recurrence relation formula for Bernoullinumbers have been derived, and sum of integer exponents of natural numbershas been revisited from this novel perspective.
Sumit Bhowmick; Department of Materials and Metallurgical Engineering, Bangladesh University of Engineering and Technology, Dhaka-1000,, Md. Shafiqul Islam; Department of Materials and Metallurgical Engineering, Bangladesh University of Engineering and Technology, Dhaka-1000,   +1 more
core  

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

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  

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