Pathway Integral Operator Associated with Aleph-Function and General Polynomials

Dr. Rinku Jain

Authors

Dr. Rinku Jain

pathway fractional integral operator, aleph function (ℵ- function), generalized polynomial

Abstract

This paper is devoted to the study of a pathway fractional integral operator associated with the pathway model and pathway probability density for the ℵ- function and a generalized polynomial in the kernel. By specializing the coefficients and various parameters in the generalized polynomials and ℵ- function, our main theorem would readily yield several interesting results.

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How to Cite

Pathway Integral Operator Associated with Aleph-Function and General Polynomials. (2013). Global Journal of Science Frontier Research, 13(12), 1-6. https://journalofscience.org/index.php/GJSFR/article/view/

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Author Biography

Dr. Rinku Jain

Dr. Rinku Jain is an accomplished academic and researcher currently serving as an Associate Professor in Business Analytics at K. J. Somaiya Institute of Management Studies and Research, Mumbai. She earned her PhD in Mathematics from the University of Rajasthan, blending rigorous mathematical foundations with applied analytics. Her research spans diverse areas including special functions, integral operators, and financial market volatility, as evidenced by her publications on the Pathway Integral Operator associated with the Aleph-function and general polynomials, as well as financial analysis during recession periods. Dr. Jain has contributed 25 scholarly works, accumulating 59 citations, with an h-index of 5 and an i10-index of 2. She has also secured a research grant from Somaiya Vidyavihar University to study the impact of microfinance on women's wellbeing. Her work is recognized through her ORCID (0000-0001-7785-1987), OpenAlex author profile, and Web of Science Researcher ID (AAP-6086-2020). Dr. Jain continues to advance knowledge at the intersection of mathematics, analytics, and socio-economic development.

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