MARC details
| 000 -LEADER |
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| fixed length control field |
03238cam a2200469 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
on1413943532 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240516153410.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
231214t20232023riua b 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1470462680 |
| Qualifying information |
(paperback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470462680 |
| Qualifying information |
(paperback) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)1413943532 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
YDX |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
YDX |
| Modifying agency |
YSM |
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OCLCO |
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UNBCA |
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CLU |
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BUB |
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OCLCO |
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EAU |
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OCLCQ |
| 066 ## - CHARACTER SETS PRESENT |
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| Alternate G0 or G1 character set |
(S |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
511.33 |
| Assigning agency |
OCoLC |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES |
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| IMPA CODE FOR CLASSIFICATION SHELVES |
Coleções de Monografias. |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Pétréolle, Mathias, |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
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| Title |
Lattice paths and branched fractions : |
| Remainder of title |
an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity / |
| Statement of responsibility, etc. |
Mathias Pétréolle, Alan D. Sokal, Bao-Xuan Zhu. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Providence, Rhode Island : |
| Name of producer, publisher, distributor, manufacturer |
American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2023] |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Date of production, publication, distribution, manufacture, or copyright notice |
©2023 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
v, 154 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
unmediated |
| Media type code |
n |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
volume |
| Carrier type code |
nc |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Memoirs of the American Mathematical Society ; |
| Volume/sequential designation |
number 1450 |
| 500 ## - GENERAL NOTE |
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| General note |
"November 2023, volume 291, number 1450 (fifth of 5 numbers)." |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references (pages 147-154). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Lattice paths. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Polynomials. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Fractions. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Chemins de treillis. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Polynômes. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Fractions. |
| 697 ## - LOCAL SUBJECT |
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| Linkage |
23736 |
| Local Subject |
Coleções de Monografias. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Sokal, Alan D., |
| Dates associated with a name |
1955- |
| Relator term |
author. |
| Real World Object URI |
https://id.oclc.org/worldcat/entity/E39PBJfGVgk6WWWRy8bkrGy68C |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Zhu, Bao-Xuan, |
| Relator term |
author |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Memoirs of the American Mathematical Society ; |
| Volume/sequential designation |
v. 1450. |
| 880 3# - ALTERNATE GRAPHIC REPRESENTATION |
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| Linkage |
520-00/(S |
| a |
"We define an infinite sequence of generalizations, parametrized by an integer m ≥ 1, of the Stieltjes-Rogers and Thron-Rogers polynomials; they arise as the power-series expansions of some branched continued fractions, and as the generating polynomials for m-Dyck and m-Schr¨oder paths with height-dependent weights. We prove that all of these sequences of polynomials are coefficientwise Hankel totally positive, jointly in all the (infinitely many) indeterminates. We then apply this theory to prove the coefficientwise Hankel-total positivity for combinatorially interesting sequences of polynomials. Enumeration of unlabeled ordered trees and forests gives rise to multivariate Fuss-Narayana polynomials and Fuss-Narayana symmetric functions. Enumeration of increasing (labeled) ordered trees and forests gives rise to multivariate Eulerian polynomials and Eulerian symmetric functions, which include the univariate mth-order Eulerian polynomials as specializations. We also find branched continued fractions for ratios of contiguous hypergeometric series rFs for arbitrary r and s, which generalize Gauss' continued fraction for ratios of contiguous 2F1; and for s = 0 we prove the coefficientwise Hankel-total positivity. Finally, we extend the branched continued fractions to ratios of contiguous basichypergeometric series rφs." -- Provided by publisher |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| Suppress in OPAC |
No |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
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| h (OCLC) |
NO HOLDINGS IN P5A - 12 OTHER HOLDINGS |
