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Browsing by Author "Nisar, K.S."

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    Computing Hankel Determinants Hm(2) of Dixon Elliptic Functions With Modulus α = 0 Using Regular C Fraction
    (Cambridge Scientific Publishers, 2025) Silambarasan, R.; Belgacem, F.B.M.; Nisar, K.S.; Baleanu, D.
    In this research paper Dixon elliptic functions (DEF) having modulus, α = 0, smN(x,0): N ≥ 1 smN(x,0)cm(x,0) and smN(x,0)cm(x,0): N ≥ 0 are expanded by Regular C fractions and generalized using the Sumudu transform. Then Hankel determinants Hm(2) of DEF are calculated without resort to Maclaurin's series. For this purpose Heliermann correspondence is applied to Regular C Fraction (RCF) coefficients. Higher order results are given using formal notation and compact form. Some known and previous results are proven and numerical examples given to check the validity in light of this paper's new findings. © (2025), (Cambridge Scientific Publishers). All rights reserved.
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    Citation - Scopus: 7
    Inclusion Relationships for Some Subclasses of Analytic Functions Associated With Generalized Bessel Functions
    (Eudoxus Press, LLC, 2018) Selvakumaran, K.A.; Baleanu, Dumitru; Al-Kharsani, H.A.; Baleanu, D.; Purohit, S.D.; Nisar, K.S.; Matematik
    This paper introduces new subclasses of analytic functions and investigate the inclusion properties of these subclasses using the generalized Bessel functions of the first kind. We also derive a variety of special cases and corollaries of the main results. © 2018 by Eudoxus Press, LLC. All rights reserved.