Results 71 to 80 of about 3,168 (184)
Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers
Mathematics, 2019 In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao +2 more
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Applied Mathematics in Science and EngineeringIn this paper, we introduce the probabilistic Bernoulli numbers, Cauchy numbers, and Euler numbers of order α associated with the random variable Y, utilizing the generating function approach.
Aimin Xu
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The r-central factorial numbers with even indices
Advances in Difference Equations, 2020 In this paper, we introduce the r-central factorial numbers with even indices of the first and second kind as extended versions of the central factorial numbers with even indices of both kinds.
F. A. Shiha
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AIMS Mathematics, 2019 In the paper, by virtue of the Faà di Bruno formula, some properties of the Bell polynomials of the second kind, and an inversion formula for the Stirling numbers of the first and second kinds, the authors establish meaningfully and significantly two ...
Feng Qi, Da-Wei Niu, Bai-Ni Guo
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New type of degenerate Daehee polynomials of the second kind
Advances in Difference Equations, 2020 Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. 27(2):227–235, 2020), we consider
Sunil Kumar Sharma +3 more
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The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp
Applied Mathematics in Science and Engineering, 2022 In this paper, the higher-order type 2 Daehee polynomials are introduced and some of their relations and properties are derived. Then, some p-adic integral representations of not only higher-order type 2 Daehee polynomials and numbers but also type 2 ...
Waseem Ahmad Khan +3 more
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On degenerate multi-poly-derangement polynomials and numbers
Applied Mathematics in Science and EngineeringThe problem of counting derangements was begun in 1708 by Pierre R[Formula: see text]mond de Montmort (see [Carlitz. The number of derangements of a sequence with given specification. Fibonacci Quart. 1978;16:255–258], [Clarke and Sved.
Sang Jo Yun, Jin-Woo Park
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Construction of Type 2 Poly-Changhee Polynomials and Its Applications
Journal of Mathematics, 2021 In this paper, we introduce type 2 poly-Changhee polynomials by using the polyexponential function. We derive some explicit expressions and identities for these polynomials, and we also prove some relationships between poly-Changhee polynomials and ...
Ghulam Muhiuddin +2 more
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Explicit expressions and integral representations for the Stirling numbers. A probabilistic approach
Advances in Difference Equations, 2019 We show that the Stirling numbers of the first and second kind can be represented in terms of moments of appropriate random variables. This allows us to obtain, in a unified way, a variety of old and new explicit expressions and integral representations ...
José A. Adell, Alberto Lekuona
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Three closed forms for convolved Fibonacci numbers
Results in Nonlinear Analysis, 2020 In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
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