| 000 -LEADER |
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| fixed length control field |
06548nam a2200913 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
8826061 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20200413152933.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
190927s2019 cau fob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781681736396 |
| Qualifying information |
electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681736402 |
| Qualifying information |
hardcover |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681736389 |
| Qualifying information |
paperback |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.2200/S00942ED1V01Y201907ENG037 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(CaBNVSL)thg00979524 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)1119624973 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
CaBNVSL |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
CaBNVSL |
| Modifying agency |
CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA353.G44 |
| Item number |
C534 2019eb |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515/.55 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Chattamvelli, Rajan, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Generating functions in engineering and the applied sciences / |
| Statement of responsibility, etc. |
Rajan Chattamvelli, Ramalingam Shanmugam. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
[San Rafael, California] : |
| Name of producer, publisher, distributor, manufacturer |
Morgan & Claypool, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2019] |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 PDF (xiii, 97 pages). |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
electronic |
| Source |
isbdmedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Synthesis lectures on engineering, |
| International Standard Serial Number |
1939-523X ; |
| Volume/sequential designation |
#37 |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
System requirements: Adobe Acrobat Reader. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Part of: Synthesis digital library of engineering and computer science. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (page 91) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Types of generating functions -- 1.1. Introduction -- 1.2. Notations and nomenclatures -- 1.3. Types of generating functions -- 1.4. Ordinary generating functions -- 1.5. Exponential generating functions (EGF) -- 1.6. Pochhammer generating functions -- 1.7. Other generating functions -- 1.8. Summary |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
2. Operations on generating functions -- 2.1. Basic operations -- 2.2. Invertible sequences -- 2.3. Composition of generating functions -- 2.4. Summary |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
3. Generating functions in statistics -- 3.1. Generating functions in statistics -- 3.2. Probability generating functions (PGF) -- 3.3. Generating functions for CDF -- 3.4. Generating functions for survival functions -- 3.5. Generating functions for mean deviation -- 3.6. MD of some distributions -- 3.7. Moment generating functions (MGF) -- 3.8. Characteristic functions -- 3.9. Cumulant generating functions -- 3.10. Factorial moment generating functions -- 3.11. Conditional moment generating functions (CMGF) -- 3.12. Generating functions of truncated distributions -- 3.13. Convergence of generating functions -- 3.14. Summary |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
4. Applications of generating functions -- 4.1. Applications in algebra -- 4.2. Applications in computing -- 4.3. Applications in combinatorics -- 4.4. Applications in graph theory -- 4.5. Applications in chemistry -- 4.6. Applications in epidemiology -- 4.7. Applications in number theory -- 4.8. Applications in statistics -- 4.9. Generating functions in reliability -- 4.10. Applications in bioinformatics -- 4.11. Applications in genetics -- 4.12. Applications in management -- 4.13. Applications in economics -- 4.14. Summary. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
Abstract freely available; full-text restricted to subscribers or individual document purchasers. |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Compendex |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
INSPEC |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google scholar |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google book search |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This is an introductory book on generating functions (GFs) and their applications. It discusses commonly encountered generating functions in engineering and applied sciences, such as ordinary generating functions (OGF), exponential generating functions (EGF), probability generating functions (PGF), etc. Some new GFs like Pochhammer generating functions for both rising and falling factorials are introduced in Chapter 2. Two novel GFs called "mean deviation generating function" (MDGF) and "survival function generating function" (SFGF), are introduced in Chapter 3. The mean deviation of a variety of discrete distributions are derived using the MDGF. The last chapter discusses a large number of applications in various disciplines including algebra, analysis of algorithms, polymer chemistry, combinatorics, graph theory, number theory, reliability, epidemiology, bio-informatics, genetics, management, economics, and statistics. Some background knowledge on GFs is often assumed for courses in analysis of algorithms, advanced data structures, digital signal processing (DSP), graph theory, etc. These are usually provided by either a course on "discrete mathematics" or "introduction to combinatorics." But, GFs are also used in automata theory, bio-informatics, differential equations, DSP, number theory, physical chemistry, reliability engineering, stochastic processes, and so on. Students of these courses may not have exposure to discrete mathematics or combinatorics. This book is written in such a way that even those who do not have prior knowledge can easily follow through the chapters, and apply the lessons learned in their respective disciplines. The purpose is to give a broad exposure to commonly used techniques of combinatorial mathematics, highlighting applications in a variety of disciplines. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
|---|
| Additional physical form available note |
Also available in print. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Title from PDF title page (viewed on September 27, 2019). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Generating functions. |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
algebra |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
analysis of algorithms |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
bio-informatics |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
CDF generating functions |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
combinatorics |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
cumulants |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
difference equations |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
discrete mathematics |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
economics |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
epidemiology |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
finance |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
genetics |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
graph theory |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
management |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
mean deviation generating function |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
moments |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
number theory |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Pochhammer generating functions |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
polymer chemistry |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
power series |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
recurrence relations |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
reliability engineering |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
special numbers |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
statistics |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
strided sequences |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
survival function |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
truncated distributions. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Shanmugam, Ramalingam, |
| Relator term |
author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis digital library of engineering and computer science. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis lectures on engineering ; |
| Volume/sequential designation |
#37. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to resource |
| Uniform Resource Identifier |
https://ieeexplore.ieee.org/servlet/opac?bknumber=8826061 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to full text |
| Uniform Resource Identifier |
https://doi.org/10.2200/S00942ED1V01Y201907ENG037 |
