Certain Oberhettinger’s Integrals Associated with Product of General Polynomials and Incomplete H- Function

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Harshita Garg
Harshita Garg College Principal

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GJSFR Volume 22 Issue F1

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Certain Oberhettinger’s Integrals Associated with Product of General Polynomials and Incomplete H- Function Banner
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In this paper, we developed Oberhettinger’s integral formulas containing the product of general polynomials and incomplete H-functions. These integral formulas are very useful to obtain the Mellin transform of various simpler special functions. The Mellin transform of special functions find their applications in mathematical statistics, number theory and the theory of asymptotic expansions. The main findings of the present work are very useful in solving the problems arising in digital signals, image processing, finance and ship target recognition by sonar system and radar signals.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

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Not applicable for this article.

Harshita Garg. 2026. \u201cCertain Oberhettinger’s Integrals Associated with Product of General Polynomials and Incomplete H- Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 22 (GJSFR Volume 22 Issue F1): .

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Enhanced alt: Deep dive into Oberthetinger’s integrals related to polynomial and incomplete functions in math research.
Issue Cover
GJSFR Volume 22 Issue F1
Pg. 47- 57
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 33C60, 33C99
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v1.2

Issue date

March 24, 2022

Language

English

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In this paper, we developed Oberhettinger’s integral formulas containing the product of general polynomials and incomplete H-functions. These integral formulas are very useful to obtain the Mellin transform of various simpler special functions. The Mellin transform of special functions find their applications in mathematical statistics, number theory and the theory of asymptotic expansions. The main findings of the present work are very useful in solving the problems arising in digital signals, image processing, finance and ship target recognition by sonar system and radar signals.

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Certain Oberhettinger’s Integrals Associated with Product of General Polynomials and Incomplete H- Function

Harshita Garg
Harshita Garg

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