Results 11 to 20 of about 73 (47)
λ-q-Sheffer sequence and its applications
Demonstratio Mathematica, 2022 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
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Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials
Advances in Differential Equations, 2014 In this paper, by considering Barnes-type Daehee polynomials of the first kind as well as poly-Cauchy polynomials of the first kind, we define and investigate the mixed-type polynomials of these polynomials.
Dae San Kim +3 more
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Some results for Apostol-type polynomials associated with umbral algebra
Advances in Differential Equations, 2013 A family of the Apostol-type polynomials was introduced and investigated recently by Luo and Srivastava (see (Appl. Math. Comput. 217:5702-5728, 2011)). In this paper, we study this polynomial family on P, the algebra of polynomials in a single variable ...
Da-qian Lu, C. Xiang, Qiu-Ming Luo
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Generating function for q-Eulerian polynomials and their decomposition and applications
Fixed Point Theory and Applications, 2013 The aim of this paper is to define a generating function for q-Eulerian polynomials and numbers attached to any character χ of the finite cyclic group G.
M. Alkan, Y. Simsek
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Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials
Advances in Differential Equations, 2014 In this paper, by considering Barnes’ multiple Bernoulli polynomials as well as generalized Barnes’ multiple Frobenius-Euler polynomials, we define and investigate the mixed-type polynomials of these polynomials.
Dae San Kim +3 more
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Barnes-type Peters polynomial with umbral calculus viewpoint
Journal of Inequalities and Applications, 2014 In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials.MSC ...
Dae San Kim +4 more
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Barnes-type Narumi polynomials
Advances in Differential Equations, 2014 In this paper, we study the Barnes-type Narumi polynomials with umbral calculus viewpoint. From our study, we derive various identities of the Barnes-type Narumi polynomials.MSC:05A19, 05A40, 11B68.
Dae San Kim, Taekyun Kim
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Barnes-type Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials
Journal of Inequalities and Applications, 2014 In this paper, we introduce the mixed-type polynomials: Barnes-type Daehee polynomials of the second kind and poly-Cauchy polynomials of the second kind.
Dae San Kim, Taekyun Kim
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Normalized polynomials and their multiplication formulas
Advances in Differential Equations, 2013 The aim of this paper is to prove multiplication formulas of the normalized polynomials by using the umbral algebra and umbral calculus methods. Our polynomials are related to the Hermite-type polynomials.AMS Subject Classification:05A40, 11B83, 11B68.
R. Dere, Y. Simsek
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Barnes-type Narumi of the second kind and Barnes-type Peters of the second kind hybrid polynomials
Journal of Inequalities and Applications, 2014 In this paper, by considering Barnes-type Narumi polynomials of the second kind and Barnes-type Peters polynomials of the second kind, we define and investigate the hybrid polynomials of these polynomials.
Dae San Kim +3 more
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