Results 31 to 40 of about 371 (66)

Some representations for inverse rising factorial moments

Mathematical and Computer Modelling of Dynamical Systems
Inverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics.
Xiaoxue Li, Yuankui Ma, Taekyun Kim, Dae San Kim   +3 more
doaj   +1 more source

Identities involving degenerate stirling numbers of the second kind

Mathematical and Computer Modelling of Dynamical Systems
Building on Carlitz’s foundational work with degenerate Euler and Bernoulli polynomials, recent research has introduced and studied various degenerate special numbers and polynomials.
Taekyun Kim, Dae San Kim, Murad Khalil, Kyo-Shin Hwang   +3 more
doaj   +1 more source

On a generalization of derangement polynomials and numbers

Demonstratio Mathematica
In T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj   +1 more source

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let [Formula: see text] be a random variable whose moment generating function exists in a neighbourhood of the origin.
Lingling Luo, Taekyun Kim, Dae San Kim, Yuankui Ma   +3 more
doaj   +1 more source

Series involving degenerate harmonic numbers and degenerate Stirling numbers

Applied Mathematics in Science and Engineering
Recently, degenerate harmonic numbers and degenerate hyperharmonic numbers are introduced by Kim-Kim. In this paper, we study the series involving the degenerate harmonic numbers and degenerate Stirling numbers and investigate those properties.
Lingling Luo, Yuankui Ma, Taekyun Kim, Rongrong Xu   +3 more
doaj   +1 more source

Evaluation of cauchy polynomials via degenerate r-Stirling numbers

Mathematical and Computer Modelling of Dynamical Systems
In this paper, within the framework of unsigned degenerate [Formula: see text]-Stirling numbers, we establish connections among Cauchy polynomials, degenerate Bernoulli polynomials, and degenerate hyperharmonic numbers.
Zhuoyu Chen, Yuankui Ma, Taekyun Kim, Dae San Kim, Yanan Hei   +4 more
doaj   +1 more source

Probabilistic multi-Stirling numbers of the second kind associated with random variables

Applied Mathematics in Science and Engineering
This paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu, Yuankui Ma, Taekyun Kim, Dae San Kim, Yanan Hei   +4 more
doaj   +1 more source

On degenerate multi-poly-derangement polynomials and numbers

Applied Mathematics in Science and Engineering
The 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
doaj   +1 more source

Roles of extended human papillomavirus genotyping and multiple infections in early detection of cervical precancer and cancer and HPV vaccination. [PDF]

BMC Cancer, 2022
Song F, Yan P, Huang X, Wang C, Du H, Qu X, Wu R.   +6 more
europepmc   +1 more source

Upland rice varietal mixtures in Madagascar: evaluating the effects of varietal interaction on crop performance. [PDF]

Front Plant Sci, 2023
Rahajaharilaza K, Muller B, Violle C, Brocke KV, Ramavovololona, Morel JB, Balini E, Fort F.   +7 more
europepmc   +1 more source