Results 41 to 50 of about 401,067 (279)
IDENTITIES FOR MULTIPLICATIVE COUPLED FIBONACCI SEQUENCES OF RTH ORDER
Journal of New Theory, 2017 Abstaract−Many author studied coupled Fibonacci sequences and multiplicative coupled Fi- bonacci sequences of lower order two, three and four etc. In this paper we defined multiplicative coupled Fibonacci Sequences of rthorder under 2rdifferent schemes ...
Ashok Dnyandeo Godase, Macchindra Dhakne
doaj
Triple Symmetric Sums of Circular Binomial Products
MathematicsBy employing the generating function approach, 16 triple sums for circular binomial products of binomial coefficients are examined. Recurrence relations and generating functions are explicitly determined.
Marta Na Chen, Wenchang Chu
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Generalized Dyck paths of bounded height [PDF]
, 2013 Generalized Dyck paths (or discrete excursions) are one-dimensional paths that take their steps in a given finite set S, start and end at height 0, and remain at a non-negative height.
Bacher, Axel
core
, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
Ishkhanyan, A. M. +2 more
core +2 more sources
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation
MathematicsIn this work, we present both analytical and numerical solutions to a seven-parameter confluent Heun-type differential equation. This second-order linear differential equation features three singularities: two regular singularities and one irregular ...
Saiful R. Mondal, Varun Kumar
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On fourth-order jacobsthal quaternions
Journal of Mathematical Sciences and Modelling, 2018 In this paper, we present for the first time a sequence of quaternions of order 4 that we will call the fourth-order Jacobsthal and the fourth-order Jacobsthal-Lucas quaternions. In particular, we are interested in the generating function, Binet formula,
Gamaliel Cerda-morales
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Discrete Hypergeometric Legendre Polynomials
Mathematics, 2021 A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials.
Tom Cuchta, Rebecca Luketic
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FEBS Letters, EarlyView.This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
wiley +1 more source
Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation.
Patra Asim
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