Results 31 to 40 of about 956 (98)
Orthogonalizing q-Bernoulli polynomials
Demonstratio MathematicaIn 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
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Extended p-adic q-invariant integrals on Zp associated with applications of umbral calculus
, 2013 The fundamental aim of this paper is to consider some applications of umbral calculus by utilizing from the extended p-adic q-invariant integral on Zp.
S. Araci, M. Acikgoz, Adem Kılıçman
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Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
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Some properties of the generalized Apostol-type polynomials
, 2013 In this paper, we study some properties of the generalized Apostol-type polynomials (see (Luo and Srivastava in Appl. Math. Comput. 217:5702-5728, 2011)), including the recurrence relations, the differential equations and some other connected problems ...
Da-qian Lu, Qiu-Ming Luo
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q-analogue of Euler-Barnes' numbers and polynomials
, 2005 We construct the q-analogue of Euler-Barnes' numbers and polynomials, and investigate their some properties.Comment: 9 ...
Jang, Lee-Chae, Kim, Taekyun
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ON THE (p, q)-ANALOGUE OF EULER ZETA FUNCTION
, 2017 In this paper we define (p, q)-analogue of Euler zeta function. In order to define (p, q)-analogue of Euler zeta function, we introduce the (p, q)-analogue of Euler numbers and polynomials by generalizing the Euler numbers and polynomials, Carlitz’s type
C. Ryoo
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An extension of generalized Apostol-Euler polynomials
, 2013 Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011).
Si Chen, Yichang Cai, Qiu-Ming Luo
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Unification of the Bernstein-type polynomials and their applications
, 2013 In this paper, we investigate some new identities related to the unification of the Bernstein-type polynomials, Bernoulli polynomials, Euler numbers and Stirling numbers of the second kind. We also give some remarks and applications of the Bernstein-type
Y. Simsek
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Demonstratio MathematicaThe 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. +2 more
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Sums of products of the degenerate Euler numbers
, 2014 The paper focuses on the degenerate Euler numbers, the degenerate Euler polynomials and the degenerate Bernoulli polynomials. By adopting the method of recurrences, two explicit expressions have been established for sums of products of the degenerate ...
Ming Wu, H. Pan
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