Tribasic integrals and identities of Rogers-Ramanujan type

    Authors

    M. E. H. Ismail;D. Stanton

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    Trans. Am. Math. Soc.

    Keywords

    POLYNOMIALS; PARTITIONS; Mathematics

    Abstract

    Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find in finite sum representations for these in finite products. The resulting identities are identities of Rogers-Ramanujan type. Some integer partition interpretations of these identities are given. Generalizations of the Rogers-Ramanujan type identities involving polynomials are given again as corollaries of integral evaluations.

    Journal Title

    Transactions of the American Mathematical Society

    Volume

    355

    Issue/Number

    10

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    4061

    Last Page

    4091

    WOS Identifier

    WOS:000184101000009

    ISSN

    0002-9947

    Share

    COinS