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Everything about Multiplication theorem
Identity obeyed by many special functions related to the gamma function
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 derived from that for the others, and is simply a manifestation of the same identity in different guises. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multiplication theoremA 5-minute orientation
- Skim a recent paper: Quantum multiplication algorithm based on the convolution theoremInfluential work since 2022
- Pick up a classic book: Optimal Models and Methods with Fuzzy QuantitiesThe most-reprinted book on the subject
- Read the landmark paper: Improved Polynomial Multiplication Formulas over $IF₂$ Using Chinese Remainder TheoremCited 20 times
- Go sideways: Barnes G-functionA closely related topic
- Go sideways: List of indefinite sumsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Improved Polynomial Multiplication Formulas over $IF₂$ Using Chinese Remainder Theorem
The hadamard multiplication theorem and applications in summability theory
Periodic functions with a multiplication theorem
WEYL'S THEOREM, TENSOR PRODUCTS AND MULTIPLICATION OPERATORS II
Hadamard's multiplication theorem - recent developments
Weyl's theorem, tensor products and multiplication operators
Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators
A multiplication theorem for Room Squares
🆕 Influential since 2022
Quantum multiplication algorithm based on the convolution theorem
The Cluster Multiplication Theorem for Acyclic Quantum Cluster Algebras
Comment on “Quantum multiplication algorithm based on the convolution theorem”
Normal Mixture Representations and Analogs of the Multiplication Theorem for Some Distributions
Contribution to the Hadamard multiplication theorem
📚 Books worth reading
Optimal Models and Methods with Fuzzy QuantitiesBing-Yuan Cao · 2010
Intermediate AnalysisNorman B. Haaser, Joseph P. LaSalle · 1964
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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