Hook differences and lattice paths

A. K. Agarwal; G. E. Andrews

doi:10.1016/0378-3758(86)90004-2

Hook differences and lattice paths

A. K. Agarwal, G. E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

Relationships among partitions, lattice paths and the Rogers-Ramanujan identities are developed. New partition-theoretic parameters called anti-hook differences are introduced and applied to give new interpretations to four identities of L.J. Rogers.

Original language	English (US)
Pages (from-to)	5-14
Number of pages	10
Journal	Journal of Statistical Planning and Inference
Volume	14
Issue number	1
DOIs	https://doi.org/10.1016/0378-3758(86)90004-2
State	Published - May 1986

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/0378-3758(86)90004-2

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title = "Hook differences and lattice paths",

abstract = "Relationships among partitions, lattice paths and the Rogers-Ramanujan identities are developed. New partition-theoretic parameters called anti-hook differences are introduced and applied to give new interpretations to four identities of L.J. Rogers.",

author = "Agarwal, \{A. K.\} and Andrews, \{G. E.\}",

note = "Funding Information: * Supported by a National Scholarship for Higher Study Abroad, Culture, Government of India. ** Supported by National Science Foundation Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1986",

month = may,

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AU - Agarwal, A. K.

AU - Andrews, G. E.

N1 - Funding Information: * Supported by a National Scholarship for Higher Study Abroad, Culture, Government of India. ** Supported by National Science Foundation Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1986/5

Y1 - 1986/5

N2 - Relationships among partitions, lattice paths and the Rogers-Ramanujan identities are developed. New partition-theoretic parameters called anti-hook differences are introduced and applied to give new interpretations to four identities of L.J. Rogers.

AB - Relationships among partitions, lattice paths and the Rogers-Ramanujan identities are developed. New partition-theoretic parameters called anti-hook differences are introduced and applied to give new interpretations to four identities of L.J. Rogers.

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U2 - 10.1016/0378-3758(86)90004-2

DO - 10.1016/0378-3758(86)90004-2

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AN - SCOPUS:38249041401

SN - 0378-3758

VL - 14

SP - 5

EP - 14

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 1

ER -

Hook differences and lattice paths

Abstract

All Science Journal Classification (ASJC) codes

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