Notes on the binomial transform: theory and table with appendix on stirling transform
"The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it ca...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Company Pte Limited
2018
|
| Schlagworte: | |
| Online-Zugang: | UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | "The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series transformations. The binomial transform leads to various combinatorial and analytical identities involving binomial coefficients. In particular, we present here new binomial identities for Bernoulli, Fibonacci, and harmonic numbers. Many interesting identities can be written as binomial transforms and vice versa. The volume consists of two parts. In the first part, we present the theory of the binomial transform for sequences with a sufficient prerequisite of classical numbers and polynomials. The first part provides theorems and tools which help to compute binomial transforms of different sequences and also to generate new binomial identities from the old. These theoretical tools (formulas and theorems) can also be used for summation of series and various numerical computations. In the second part, we have compiled a list of binomial transform formulas for easy reference. In the Appendix, we present the definition of the Stirling sequence transform and a short table of transformation formulas."-- |
| Beschreibung: | Includes bibliographical references (pages 189-194) and index |
| Beschreibung: | 1 online resource (206 pages) illustrations |
| ISBN: | 9789813234987 |
Internformat
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| 245 | 1 | 0 | |a Notes on the binomial transform |b theory and table with appendix on stirling transform |c Khristo N. Boyadzhiev |
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| 500 | |a Includes bibliographical references (pages 189-194) and index | ||
| 520 | |a "The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series transformations. The binomial transform leads to various combinatorial and analytical identities involving binomial coefficients. In particular, we present here new binomial identities for Bernoulli, Fibonacci, and harmonic numbers. Many interesting identities can be written as binomial transforms and vice versa. The volume consists of two parts. In the first part, we present the theory of the binomial transform for sequences with a sufficient prerequisite of classical numbers and polynomials. The first part provides theorems and tools which help to compute binomial transforms of different sequences and also to generate new binomial identities from the old. These theoretical tools (formulas and theorems) can also be used for summation of series and various numerical computations. In the second part, we have compiled a list of binomial transform formulas for easy reference. In the Appendix, we present the definition of the Stirling sequence transform and a short table of transformation formulas."-- | ||
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Datensatz im Suchindex
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| author | Boyadzhiev, Khristo N |
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| format | Electronic eBook |
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| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:43Z |
| indexdate | 2024-07-10T08:54:28Z |
| institution | BVB |
| isbn | 9789813234987 |
| language | English |
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| spelling | Boyadzhiev, Khristo N aut Notes on the binomial transform theory and table with appendix on stirling transform Khristo N. Boyadzhiev Singapore World Scientific Publishing Company Pte Limited 2018 1 online resource (206 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (pages 189-194) and index "The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series transformations. The binomial transform leads to various combinatorial and analytical identities involving binomial coefficients. In particular, we present here new binomial identities for Bernoulli, Fibonacci, and harmonic numbers. Many interesting identities can be written as binomial transforms and vice versa. The volume consists of two parts. In the first part, we present the theory of the binomial transform for sequences with a sufficient prerequisite of classical numbers and polynomials. The first part provides theorems and tools which help to compute binomial transforms of different sequences and also to generate new binomial identities from the old. These theoretical tools (formulas and theorems) can also be used for summation of series and various numerical computations. In the second part, we have compiled a list of binomial transform formulas for easy reference. In the Appendix, we present the definition of the Stirling sequence transform and a short table of transformation formulas."-- Combinatorial analysis Binomial coefficients Electronic books Erscheint auch als Druck-Ausgabe 9789813234970 http://www.worldscientific.com/worldscibooks/10.1142/10848 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Boyadzhiev, Khristo N Notes on the binomial transform theory and table with appendix on stirling transform Combinatorial analysis Binomial coefficients Electronic books |
| title | Notes on the binomial transform theory and table with appendix on stirling transform |
| title_auth | Notes on the binomial transform theory and table with appendix on stirling transform |
| title_exact_search | Notes on the binomial transform theory and table with appendix on stirling transform |
| title_exact_search_txtP | Notes on the binomial transform theory and table with appendix on stirling transform |
| title_full | Notes on the binomial transform theory and table with appendix on stirling transform Khristo N. Boyadzhiev |
| title_fullStr | Notes on the binomial transform theory and table with appendix on stirling transform Khristo N. Boyadzhiev |
| title_full_unstemmed | Notes on the binomial transform theory and table with appendix on stirling transform Khristo N. Boyadzhiev |
| title_short | Notes on the binomial transform |
| title_sort | notes on the binomial transform theory and table with appendix on stirling transform |
| title_sub | theory and table with appendix on stirling transform |
| topic | Combinatorial analysis Binomial coefficients Electronic books |
| topic_facet | Combinatorial analysis Binomial coefficients Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10848 |
| work_keys_str_mv | AT boyadzhievkhriston notesonthebinomialtransformtheoryandtablewithappendixonstirlingtransform |