- PED and POD partitions: combinatorial proofs of recurrence relations
2023/08/11 by Cristina Ballantine, Ballantine, Cristina, Amanda Welch +1 · 1 citation
Mathematics · #05A17 #05A19 #11P81 #11P84 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics #Combinatorics (math.CO) #Discrete mathematics #Euler's formula #FOS: Mathematics #Geometry #Mathematical analysis #Mathematical proof #Mathematics #Number Theory (math.NT) #Partition (number theory) #Point of delivery #Recurrence relation
- A set of the Viète-like recurrence relations for the unity constant
2017/02/03 by Sanjar M. Abrarov, S. M. Abrarov, Abrarov, S. M. +3 · 1 citation
Chemistry · Mathematics · #11B37 #Analytical Chemistry and Chromatography #Combinatorics #Computer science #Constant (computer programming) #Convergence (economics) #FOS: Mathematics #Free Radicals and Antioxidants #General Mathematics (math.GM) #Mathematics #Molecular spectroscopy and chirality #Philosophy #Physics #Quantum mechanics #Recurrence relation #Root of unity #Set (abstract data type) #Simple (philosophy) #math.GM #msc:11B37
- Legal Decompositions Arising from Non-positive Linear Recurrences
2016/06/30 by Minerva Catral, Pari L. Ford, Catral, Minerva +7 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #11B05 (primary) #11B39 #60B10 #65Q30 (secondary) #Advanced Mathematical Theories and Applications #Algorithm #Combinatorics #Combinatorics (math.CO) #Computer science #Discrete mathematics #FOS: Mathematics #Fibonacci number #Greedy algorithm #Integer (computer science) #Mathematical Dynamics and Fractals #Mathematics #Number Theory (math.NT) #Quilt #Recurrence relation #Sequence (biology) #Term (time) #math.CO #math.NT #msc:11B05 #msc:11B39 #msc:60B10 #msc:65Q30 #semigroups and automata theory
- New identities for the partial Bell polynomials
2011/04/25 by Djurdje Cvijović, Djurdje Cvijovic · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Algebra over a field #Bell polynomials #Combinatorics #Discrete mathematics #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Polynomial #Pure mathematics #Recurrence relation #math.CA
- On the Generating Function for Bernstein Polynomials
2010/01/01 by Mehmet Açıkgöz, Serkan Aracı, Theodore E. Simos +2 · 1 citation
Mathematics · Computer Science · #Approximation Theory and Sequence Spaces #Advanced Mathematical Identities #Advanced Algebra and Logic #Bernstein polynomial #Function (biology) #Generating function #Recurrence relation #Difference polynomials #Applied mathematics #Derivative (finance) #Mathematics #Computer science #Orthogonal polynomials #Algebra over a field #Pure mathematics #Discrete mathematics #Combinatorics
- Combinatorial sums and finite differences
2007/03/27 by Michael Z. Spivey · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Binomial (polynomial) #Binomial coefficient #Central binomial coefficient #Class (philosophy) #Combinatorics #Discrete mathematics #Gaussian binomial coefficient #Harmonic number #Mathematics #Negative binomial distribution #Pure mathematics #Recurrence relation #Statistics #Stirling number #Stirling numbers of the first kind #Stirling numbers of the second kind #Sums of powers #Type (biology)
- A note on the recursive calculation of incomplete gamma functions
1999/03/01 by Walter Gautschi · 2 citations
Mathematics · #Functional Equations Stability Results #Advanced Optimization Algorithms Research #Fuzzy Systems and Optimization #Recursion (computer science) #Limiting #Mathematics #Recurrence relation #Range (aeronautics) #Applied mathematics #Incomplete gamma function #Mathematical analysis #Pure mathematics #Algorithm #Gamma function #Materials science
- 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
- Fast inversion of vandermonde-like matrices involving orthogonal polynomials
1993/09/01 by Daniela Calvetti, D. Calvetti, Lothar Reichel +1 · 1 citation
Computer Science · Mathematics · #Algebra over a field #Combinatorics #Computer science #Eigenvalues and eigenvectors #Gaussian #Gaussian elimination #Inverse #Inversion (geology) #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Numerical methods for differential equations #Orthogonal polynomials #Polynomial and algebraic computation #Pure mathematics #Recurrence relation #Subroutine #Vandermonde matrix