A (p, ν)-extension of the Appell function F1(·) and its properties

S. A. Dar*, Richard B. Paris

*Corresponding author for this work

    Research output: Contribution to journalArticle

    Abstract

    In this paper, we obtain a (p, v)-extension of the Appell hypergeometric function
    F1(·), together with its integral representation, by using the extended Beta function
    Bp,v(x, y) introduced in [9]. Also, we give some of its main properties, namely the
    Mellin transform, a differential formula, recursion formulas and a bounded inequality. In addition, some new integral representations of the extended Appell functionF1,p,v(·) involving Meijer’s G-function are obtained.
    Original languageEnglish
    Pages (from-to)12-19
    Number of pages8
    JournalJournal of Computational and Applied Mathematics
    Volume358
    Early online date12 Mar 2019
    DOIs
    Publication statusPublished - 1 Oct 2019

    Fingerprint

    Appell Functions
    Integral Representation
    Recursion Formula
    G-function
    Transform

    Cite this

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    title = "A (p, ν)-extension of the Appell function F1(·) and its properties",
    abstract = "In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9]. Also, we give some of its main properties, namely theMellin transform, a differential formula, recursion formulas and a bounded inequality. In addition, some new integral representations of the extended Appell functionF1,p,v(·) involving Meijer’s G-function are obtained.",
    author = "Dar, {S. A.} and Paris, {Richard B.}",
    year = "2019",
    month = "10",
    day = "1",
    doi = "10.1016/j.cam.2019.03.001",
    language = "English",
    volume = "358",
    pages = "12--19",
    journal = "Journal of Computational and Applied Mathematics",
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    A (p, ν)-extension of the Appell function F1(·) and its properties. / Dar, S. A.; Paris, Richard B.

    In: Journal of Computational and Applied Mathematics, Vol. 358, 01.10.2019, p. 12-19.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - A (p, ν)-extension of the Appell function F1(·) and its properties

    AU - Dar, S. A.

    AU - Paris, Richard B.

    PY - 2019/10/1

    Y1 - 2019/10/1

    N2 - In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9]. Also, we give some of its main properties, namely theMellin transform, a differential formula, recursion formulas and a bounded inequality. In addition, some new integral representations of the extended Appell functionF1,p,v(·) involving Meijer’s G-function are obtained.

    AB - In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9]. Also, we give some of its main properties, namely theMellin transform, a differential formula, recursion formulas and a bounded inequality. In addition, some new integral representations of the extended Appell functionF1,p,v(·) involving Meijer’s G-function are obtained.

    U2 - 10.1016/j.cam.2019.03.001

    DO - 10.1016/j.cam.2019.03.001

    M3 - Article

    VL - 358

    SP - 12

    EP - 19

    JO - Journal of Computational and Applied Mathematics

    JF - Journal of Computational and Applied Mathematics

    SN - 0377-0427

    ER -