- Generalized hypergeometric functions: product identities and weighted norm inequalities
2013/04/17 by Arcadii Z. Grinshpan · 1 citation
Mathematics · #Algebra over a field #Analytic and geometric function theory #Appell series #Barnes integral #Basic hypergeometric series #Bilateral hypergeometric series #Confluent hypergeometric function #Generalized hypergeometric function #Hypergeometric function #Hypergeometric function of a matrix argument #Hypergeometric identity #Lauricella hypergeometric series #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Mathematics #Norm (philosophy) #Pure mathematics
- The basic Gauss hypergeometric matrix function and its matrixq-difference equation
2013/03/22 by Ahmed Salem · 2 citations
Mathematics · #Basic hypergeometric series #Confluent hypergeometric function #Generalized hypergeometric function #Hypergeometric function #Hypergeometric function of a matrix argument #Lauricella hypergeometric series #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Matrix (chemical analysis) #Matrix function #Physics #Pure mathematics #Symmetric matrix
- On a strange evaluation of the hypergeometric series by Gosper
2012/04/16 by Akihito Ebisu, Ebisu, Akihito · 1 citation
Mathematics · #33C05 #Advanced Mathematical Identities #Algebra over a field #Appell series #Basic hypergeometric series #Bilateral hypergeometric series #Classical Analysis and ODEs (math.CA) #Computer science #Confluent hypergeometric function #Contiguity #FOS: Mathematics #Generalization #Generalized hypergeometric function #Hypergeometric function #Hypergeometric function of a matrix argument #Hypergeometric identity #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics #Series (stratigraphy) #math.CA #msc:33C05
- Euler-type transformations for the generalized hypergeometric function r+2 F r+1(x)
2010/07/26 by A. R. Miller, Allen R. Miller, R. B. Paris · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Identities #Basic hypergeometric series #Bilateral hypergeometric series #Confluent hypergeometric function #Euler's formula #Function (biology) #Gauss #Generalized hypergeometric function #Hypergeometric distribution #Hypergeometric function #Hypergeometric function of a matrix argument #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Physics #Polynomial and algebraic computation #Pure mathematics #Transformation (genetics) #Type (biology)
- The formal derivation of an exact series expansion for the principal Schottky–Nordheim barrier functionv, using the Gauss hypergeometric differential equation
2008/08/29 by Jonathan H. B. Deane, Richard G. Forbes · 2 citations
Physics and Astronomy · Engineering · Materials Science · Mathematics · #Vacuum and Plasma Arcs #Power Transformer Diagnostics and Insulation #High voltage insulation and dielectric phenomena #Confluent hypergeometric function #Gauss #Hypergeometric function #Frobenius solution to the hypergeometric equation #Mathematics #Series (stratigraphy) #Generalized hypergeometric function #Mathematical analysis #Function (biology) #Basic hypergeometric series #Series expansion #Hypergeometric distribution #Asymptotic expansion #Mathematical physics #Hypergeometric function of a matrix argument #Physics #Pure mathematics #Quantum mechanics
- Calculation Methods for Wallenius' Noncentral Hypergeometric Distribution
2008/02/01 by Agner Fog · 1 citation
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Statistical Methods and Bayesian Inference #Statistical Distribution Estimation and Applications #Hypergeometric distribution #Mathematics #Noncentral chi-squared distribution #Confluent hypergeometric function #Applied mathematics #Hypergeometric function #Binomial distribution #Mathematical analysis #Statistics #Ratio distribution #Asymptotic distribution
- Transformations of some Gauss hypergeometric functions
2003/10/31 by Raimundas Vidūnas, Raimundas Vidunas · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Identities #Algebra over a field #Algebraic number #Basic hypergeometric series #Bilateral hypergeometric series #Confluent hypergeometric function #Degree (music) #Frobenius solution to the hypergeometric equation #Gauss #Generalized hypergeometric function #Hypergeometric distribution #Hypergeometric function #Hypergeometric function of a matrix argument #Hypergeometric identity #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polynomial and algebraic computation #Pure mathematics #math.CA #msc:14Q05 #msc:33C05
- The need for a new classification of double hypergeometric series
1976/04/01 by B. C. Carlson · 1 citation
Mathematics · #Mathematical functions and polynomials #Bilateral hypergeometric series #Basic hypergeometric series #Series (stratigraphy) #Appell series #Mathematics #Hypergeometric identity #Order (exchange) #Transformation (genetics) #Lauricella hypergeometric series #Hypergeometric function of a matrix argument #Generalized hypergeometric function #Confluent hypergeometric function #Pure mathematics #Algebra over a field #Hypergeometric function