Results 61 to 70 of about 2,699,959 (319)
Orthogonal polynomials with a resolvent-type generating function
, 2006 The subject of this paper are polynomials in multiple non-commuting variables. For polynomials of this type orthogonal with respect to a state, we prove a Favard-type recursion relation. On the other hand, free Sheffer polynomials are a polynomial family
Anshelevich, Michael
core +1 more source
Discrete generalized functions
Journal of Mathematical Analysis and Applications, 1972 A mapping from the Gaussian integers into the complex numbers is called a discrete function. Duffin [I] has studied properties of discrete functions. In his study, Duffin makes use of certain types of operators which we will call Duffin operators. More precisely, an operator F mapping the collection il of all discrete functions into itself is a Duffin ...
E.L Perry, Charles R Deeter
openaire +2 more sources
Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia
FEBS Letters, EarlyView.This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley +1 more source
Chimneys in compositions and bargraphs [PDF]
Discrete Mathematics Letters, 2023 Margaret Archibald +3 more
doaj +1 more source
Weighted hypergeometric functions and fractional derivative
Advances in Difference Equations, 2017 We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator ...
JE Restrepo +3 more
doaj +1 more source
A New Generating Function for Calculating the Igusa Local Zeta Function [PDF]
, 2016 A new method is devised for calculating the Igusa local zeta function $Z_f$ of a polynomial $f(x_1,\dots,x_n)$ over a $p$-adic field. This involves a new kind of generating function $G_f$ that is the projective limit of a family of generating functions ...
Cowan, Raemeon A. +2 more
core +1 more source
Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
, 2015 The bilinear generating function for products of two Laguerre 2D polynomials Lm;n(z; z0) with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of two Hermite polynomials.
Wünsche, Alfred
core +1 more source
On positive generalized functionals
Journal of Functional Analysis, 1987 Given a Gaussian space (\({\mathcal N}^*,{\mathcal B},d\mu)\), where \({\mathcal N}^*\) is the dual of a real nuclear space \({\mathcal N}\), B its topological \(\sigma\)-algebra and \(d\mu\) a Gaussian measure on \({\mathcal B}\), we construct spaces of test functionals on \({\mathcal N}^*\) as follows.
Jürgen Potthoff, Jürgen Potthoff
openaire +2 more sources
FEBS Letters, EarlyView.In lymphoid organs, antigen recognition and B cell receptor signaling rely on integrins and the cytoskeleton. Integrins act as mechanoreceptors, couple B cell receptor activation to cytoskeletal remodeling, and support immune synapse formation as well as antigen extraction.
Abhishek Pethe, Tanja Nicole Hartmann
wiley +1 more source
ENIGMA GENERATING FUNCTION OF SYNTAGMATIC ASSOCIATION
Polylinguality and Transcultural Practices, 2008 In the article the principle of motivating bounds of objects in Russian riddles is under analyses. Syntagmatic similarity of two substantives and reasons for their contaminations are also studied.
E A Denisova
doaj