Recursive initial value problems for Sheffer sequences [PDF]
Discrete Mathematics, 1999 The combinatorial problem addressed in this paper is the enumeration of certain lattice paths. The paths of interest are those which take unit steps in the North and East directions and have weighted left turns (East followed by North). Furthermore, such paths are restricted to lie either entirely above or entirely below a line of positive slope.
Niederhausen, Heinrich
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Genome-Wide DNA Methylation Patterns Predict Age in the Zebra Shark (Stegostoma tigrinum) and Provide Insight Into the Evolution of Vertebrate Aging. [PDF]
Mol EcolABSTRACT Epigenomic changes are a hallmark of aging, and DNA methylation (DNAm) has emerged as the most reliable molecular marker of an individual's age. Genome‐wide patterns of age‐associated hypo‐ and hypermethylation have been applied to generate predictive models (i.e., “epigenetic clocks”) capable of estimating chronological age in an increasingly
Bock SL +25 more
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Sheffer sequences of polynomials and their applications [PDF]
Advances in Difference Equations, 2013 In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus.
Kim, Dae +3 more
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The dual of number sequences, Riordan polynomials, and Sheffer polynomials
Special Matrices, 2021 In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences.
He Tian-Xiao, Ramírez José L.
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Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences
Advances in Difference Equations, 2020 Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
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Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences
Journal of Mathematics, 2022 In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ-umbral calculus.
Sang Jo Yun, Jin-Woo Park
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Generalized Sheffer sequences satisfying piecewise functional conditions [PDF]
, 2001 The well-known relationship between linear functionals and Sheffer sequences is extended to the case of piecewise functional conditions, where one functional determines the beginning, and a second functional shapes the remainder of a the sequence.
Niederhausen, H.
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On the zeros of certain Sheffer sequences and their cognate sequences
, 2023 Given a Sheffer sequence of polynomials, we introduce the notion of an associated sequence called the cognate sequence. We study the relationship between the zeros of this pair of associated sequences and show that in case of an Appell sequence, as well as a more general family of Sheffer sequences, the zeros of the members of each sequence (for large ...
Cheon, Gi-Sang +2 more
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Approximation by Operators for the Sheffer–Appell Polynomials [PDF]
, 2022 In this paper, we introduce a generalization of the Kantrovich–Stancu-type Szasz operator asymmetry with hybrid families of special polynomials. Additionally, we construct certain positive linear operators together with the Sheffer–Appell polynomial ...
Mdi Jeelani, Abeer Alnahdi
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Derivative formulas related to unification of generating functions for Sheffer type sequences [PDF]
, 2019 International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 13-18, 2018 -- Rhodes, GREECEKUCUKOGLU, IREM/0000-0001-9100-2252The main aim of this paper is to present partial derivative formulas for an unification, which was ...
Irem Kucukoglu, Küçükoğlu, İrem
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