Results 61 to 70 of about 27,298 (248)
D-log and formal flow for analytic isomorphisms of n-space [PDF]
, 2002 Given a formal map $F=(F_1...,F_n)$ of the form $z+\text{higher}$ order terms, we give tree expansion formulas and associated algorithms for the D-Log of F and the formal flow F_t.
Wright, David, Zhao, Wenhua
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Identity for generalized Bernoulli polynomials
, 2020 In this paper, we establish an identity for Bernoulli's generalized polynomials. We deduce generalizations for many relations involving classical Bernoulli numbers or polynomials. In particular, we generalize a recent Gessel identity.
Chellal, Redha +2 more
openaire +3 more sources
Construction a new generating function of Bernstein type polynomials
, 2010 Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties this generating functions are given.
Simsek, Yilmaz
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Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Mathematics, 2018 In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and summation-transform techniques, we
Yuan He +3 more
doaj +1 more source
Generalizations of Bernoulli numbers and polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 The concepts of Bernoulli numbers Bn, Bernoulli polynomials Bn(x), and the generalized Bernoulli numbers Bn(a, b) are generalized to the one Bn(x; a, b, c) which is called the generalized Bernoulli polynomials depending on three positive real parameters. Numerous properties of these polynomials and some relationships between Bn, Bn(x), Bn(a, b), and Bn(
Qiu-Ming Luo +3 more
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Methods in Ecology and Evolution, EarlyView.Abstract Passive acoustic telemetry systems are widely deployed to track animals in aquatic environments. However, investments in integrative methods of data analysis have remained comparatively limited, with current workflows typically considering individual movements separately from space use, home ranges and residency.
Edward Lavender +3 more
wiley +1 more source
Methods in Ecology and Evolution, EarlyView.Abstract In recent years, several compelling critiques have emerged of approaches that leverage co‐occurrence data to understand the dynamic complexities posed by species interactions. Here, motivated by the key arguments formalized over a century of debate, we use simulations grounded in ecological theory to provide guidance on when co‐occurrence data
Joshua P. Twining, Kenneth F. Kellner
wiley +1 more source
Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications
Advances in Difference Equations, 2020 Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–Genocchi polynomials,
Ugur Duran, Mehmet Acikgoz, Serkan Araci
doaj +1 more source
A new operational matrix based on Bernoulli polynomials [PDF]
, 2014 In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S. +3 more
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Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus [PDF]
, 2022 Nabiullah Khan +3 more
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