- Some supercongruences occurring in truncated hypergeometric series
2016/01/05 by Линг Лонг, Ling Long, Ravi Ramakrishna · 26 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Basic hypergeometric series #Bilateral hypergeometric series #Congruence relation #Conjecture #Generalized hypergeometric function #Hypergeometric function #Hypergeometric function of a matrix argument #Hypergeometric identity #Mathematics #Order (exchange) #Pure mathematics #Quotient #Series (stratigraphy) #advanced mathematical theories
- A family of shifted harmonic sums
2014/07/30 by Anthony Sofo, H. M. Srivastava · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Applied mathematics #Argument (complex analysis) #Basic hypergeometric series #Binomial (polynomial) #Binomial coefficient #Computer science #Discrete mathematics #Euler's formula #Generalized hypergeometric function #Harmonic #Harmonic number #Hypergeometric distribution #Hypergeometric function #Hypergeometric function of a matrix argument #Hypergeometric identity #Linguistics #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Physics #Pure mathematics #Quantum mechanics #Reciprocal #Riemann hypothesis #Series (stratigraphy) #Set (abstract data type) #Statistics
- 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)
- Elliptic Hypergeometry of Supersymmetric Dualities
2009/10/31 by V. P. Spiridonov, G. S. Vartanov · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Basic hypergeometric series #Black Holes and Theoretical Physics #Conjecture #Duality (order theory) #Extension (predicate logic) #Gauge theory #Hypergeometric distribution #Hypergeometric function #S-duality #Seiberg duality #hep-th
- q-series and weight 3/2 Maass forms
2009/05/01 by Kathrin Bringmann, Amanda Folsom, Ken Ono · 1 citation
Mathematics · #Advanced Mathematical Identities #Advanced Algebra and Geometry #Analytic Number Theory Research #Mathematics #Modular form #Holomorphic function #Series (stratigraphy) #Pure mathematics #Algebra over a field #Property (philosophy) #Type (biology) #Harmonic #Basic hypergeometric series #Hypergeometric function
- 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
- Transformations of some Gauss hypergeometric functions
2003/10/31 by Raimundas Vidunas, Raimundas Vidūnas · 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
- Algorithms for m-fold Hypergeometric Summation
1995/10/01 by Wolfram Koepf · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Identities #Algebra over a field #Basic hypergeometric series #Bilateral hypergeometric series #Binomial (polynomial) #Binomial coefficient #Combinatorics #Computer science #Exponential function #Function (biology) #Generalized hypergeometric function #Generating function #Hypergeometric distribution #Hypergeometric function #Hypergeometric function of a matrix argument #Hypergeometric identity #Integer (computer science) #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polynomial and algebraic computation #Pure mathematics #Rational function #Recurrence relation #Statistics
- Reduction formulae for generalised hypergeometric functions of one variable
1988/05/07 by J E Gottschalk, E. N. Maslen · 2 citations
Mathematics · #Mathematical functions and polynomials #Hypergeometric function #Mathematics #Appell series #Multivariable calculus #Hypergeometric identity #Variable (mathematics) #Basic hypergeometric series #Generalized hypergeometric function #Series (stratigraphy) #Bilateral hypergeometric series #Reduction (mathematics) #Lauricella hypergeometric series #Algebra over a field #Hypergeometric function of a matrix argument #Type (biology) #Pure mathematics #Applied mathematics #Mathematical analysis
- Strange Evaluations of Hypergeometric Series
1982/03/01 by Ira M. Gessel, Dennis Stanton · 2 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Mathematics and Applications #Mathematics, Computing, and Information Processing #Corollary #Mathematics #Hypergeometric function #Basic hypergeometric series #Series (stratigraphy) #Generalized hypergeometric function #Inversion (geology) #Pure mathematics #Transformation (genetics) #Bilateral hypergeometric series #Mathematical analysis #Algebra over a field #Calculus (dental) #Hypergeometric function of a matrix argument
- 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