Results 11 to 20 of about 272,458 (83)
Umbral Calculus and New Trigonometries [PDF]
, 2023 The present work proposes an overview of the Umbral calculus and of its wide range of applicability. The aim is to provide new tools, embedding umbral, symbolic and operatorial methods to be exploited in pure and applied Mathematics, in the research ...
Silvia Licciardi
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Class numbers, cyclic simple groups, and arithmetic
Journal of the London Mathematical Society, Volume 108, Issue 1, Page 238-272, July 2023., 2023 Abstract Here, we initiate a program to study relationships between finite groups and arithmetic–geometric invariants in a systematic way. To do this, we first introduce a notion of optimal module for a finite group in the setting of holomorphic mock Jacobi forms.
Miranda C. N. Cheng +2 more
wiley +1 more source
The vectorial λ-calculus [PDF]
, 2017 International audienceWe describe a type system for the linear-algebraic λ-calculus. The type system accounts for the linear-algebraic aspects of this extension of λ-calculus: it is able to statically describe the linear combinations of terms that will ...
Valiron, Benoît +6 more
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Journal of Animal Ecology, Volume 92, Issue 1, Page 158-170, January 2023., 2023 Introducing a statistical framework to estimate standardised dispersal kernels from biased data. The authors found strong evidence that long‐distance dispersal is common among European breeding bird species and across life stages. Their dispersal estimates for 234 bird species can guide selecting appropriate dispersal kernels in range expansion studies
Guillermo Fandos +5 more
wiley +1 more source
A Note on Multi‐Euler–Genocchi and Degenerate Multi‐Euler–Genocchi Polynomials
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi‐Euler–Genocchi and degenerate multi‐Euler–Genocchi polynomials which are defined by means of the multiple logarithm and generalize, respectively, the generalized Euler–Genocchi and generalized ...
Taekyun Kim +4 more
wiley +1 more source
Applications and Properties for Bivariate Bell‐Based Frobenius‐Type Eulerian Polynomials
Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce sine and cosine Bell‐based Frobenius‐type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and ...
Waseem Ahmad Khan +3 more
wiley +1 more source
Representation by Degenerate Genocchi Polynomials
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The aim of this study is to represent any polynomial in terms of the degenerate Genocchi polynomials and more generally of the higher‐order degenerate Genocchi polynomials. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples.
Taekyun Kim +4 more
wiley +1 more source
Degenerate r‐Bell Polynomials Arising from Degenerate Normal Ordering
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Recently, Kim‐Kim introduced the degenerate r‐Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r‐Bell polynomials and numbers via boson operators.
Taekyun Kim +3 more
wiley +1 more source
Identities on Changhee Polynomials Arising from λ‐Sheffer Sequences
Complexity, Volume 2022, Issue 1, 2022., 2022 In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials, degenerate Bell polynomials, degenerate Lah–Bell polynomials, and degenerate Frobenius–Euler ...
Byung Moon Kim +4 more
wiley +1 more source
Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers by using the Mittag–Leffler function and the confluent hypergeometric function.
Nabiullah Khan +4 more
wiley +1 more source