Starlike and convexity properties of<i>q</i>-Bessel-Struve functions

Oraby, Karima M.; Mansour, Zeinab S. I.

doi:10.1515/dema-2022-0004

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2022

2024

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Cited by 3 publications

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“…Let us also draw the reader's attention to complementary aspects of the study of functions and their applications in practical problems, which has been pointed out in recent papers [30][31][32].…”

Section: Discussionmentioning

confidence: 99%

New Diamond-α Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces

Kalamir

2022

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In this paper, we extend some Steffensen-type inequalities to time scales by using the diamond-α-dynamic integral. Further, we prove some new Steffensen-type inequalities for convex functions utilizing positive σ-finite measures in time scale calculus. Moreover, as a special case, we obtain these inequalities for the delta and the nabla integral. By using the relation between calculus on time scales T and differential calculus on R, we obtain already-known Steffensen-type inequalities.

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Section: Discussionmentioning

confidence: 99%

New Diamond-α Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces

Kalamir

2022

Axioms

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Close-to-Convexity of q-Bessel–Wright Functions

et al. 2022

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Radii of γ-Spirallike of q-Special Functions

Kazımoğlu

2024

Mathematics

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The geometric properties of q-Bessel and q-Bessel-Struve functions are examined in this study. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For these normalized functions, the radii of γ-spirallike and convex γ-spirallike of order σ are determined using their Hadamard factorization. These findings extend the known results for Bessel and Struve functions. The characterization of entire functions from the Laguerre-Pólya class plays an important role in our proofs. Additionally, the interlacing property of zeros of q-Bessel and q-Bessel-Struve functions and their derivatives is useful in the proof of our main theorems.

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Starlike and convexity properties ofq-Bessel-Struve functions

Abstract: This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.

Cited by 3 publications

References 30 publications

New Diamond-α Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces

New Diamond-α Steffensen-Type Inequalities for Convex Functions over General Time Scale Measure Spaces

Close-to-Convexity of q-Bessel–Wright Functions

Radii of γ-Spirallike of q-Special Functions

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