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Multiplication theorem

In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function. For the explicit case of the gamma function, the identity is a product of values; thus the name. The various relations all stem from the same underlying principle; that is, the relation for one special function can be…

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Overview

Finite characteristic

Gamma function–Legendre formula

Polygamma function, harmonic numbers

Hurwitz zeta function

Periodic zeta function

Polylogarithm

Kummer's function

Bernoulli polynomials

Bernoulli map

Characteristic zero

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Multiplication theorem

Nodes56
Edges55
Triples42
Avg. degree1.96
Density0.035714
Components1

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Multiplication theorem

Top relations

related to References · 20
Multiplication theorem → Addition, Dover, Formulas, Graphs, Handbook, Irene, Mathematical Functions, Mathematical Tables, Mathematics, Milton Abramowitz, Multiplication, Multiplication Theorems, National Academy, New York, On, Proceedings, Sciences, Special Functions, Stegun, Truesdell
related to Finite characteristic · 5
Multiplication theorem → Chowla, For, In, Selberg, The
related to Bernoulli polynomials · 4
Multiplication theorem → Bernoulli, Euler, For, Joseph Ludwig Raabe
related to Characteristic zero · 4
Multiplication theorem → Bessel, Examples, Such, The
related to Gamma function–Legendre formula · 4
Multiplication theorem → Adrien-Marie Legendre, It, Legendre, The
related to Hurwitz zeta function · 3
Multiplication theorem → Riemann, The Hurwitz, This
is a · 1
Multiplication theorem → certain type of identity obeyed by many special functions related to the gamma function
related to Polygamma function, harmonic numbers · 1
Multiplication theorem → The

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Important terminology

function multiplication theorem formula gamma bernoulli case special duplication thus zeta displaystyle functions one identity periodic relation finite polynomials polylogarithm

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Multiplication theoremis acertain type of identity obeyed by many special functions related to the gamma function0.90text
Multiplication theoremrelated to Bernoulli polynomialsFor0.60section
Multiplication theoremrelated to Bernoulli polynomialsBernoulli0.60section
Multiplication theoremrelated to Bernoulli polynomialsJoseph Ludwig Raabe0.60section
Multiplication theoremrelated to Bernoulli polynomialsEuler0.60section
Multiplication theoremrelated to Characteristic zeroThe0.60section
Multiplication theoremrelated to Characteristic zeroExamples0.60section
Multiplication theoremrelated to Characteristic zeroBessel0.60section
Multiplication theoremrelated to Characteristic zeroSuch0.60section
Multiplication theoremrelated to Finite characteristicThe0.60section
Multiplication theoremrelated to Finite characteristicIn0.60section
Multiplication theoremrelated to Finite characteristicFor0.60section

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