
Articles
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Sep 30, 2023 |
mdpi.com | Mohra Zayed |Shahid Wani |Shahid Kamal Ahmad |S. I. Ahmad
first_pagesettingsFont Type:ArialGeorgiaVerdanaLine Spacing:Column Width:Open AccessArticleby 1,*,† and 2,*,† 1Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia2Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed) University, Pune 412115, Maharashtra, India*Authors to whom correspondence should be addressed. †These authors contributed equally to this work. Fractal Fract.
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Sep 14, 2023 |
mdpi.com | Dionisio Peralta |Yamilet Quintana |Shahid Wani |Shahid Kamal Ahmad
4. ConclusionsIn the present paper, we introduced the mixed-type hypergeometric Bernoulli–Gegenbauer polynomials and analyzed some algebraic and differential properties of these polynomials, including their explicit expressions, derivative formulas, matrix representations, matrix-inversion formulas, and other relations connecting them with the hypergeometric Bernoulli polynomials.
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Aug 20, 2023 |
mdpi.com | Mohra Zayed |Shahid Wani |Mohammad Younus Bhat |Shahid Kamal Ahmad
Share and CiteMDPI and ACS StyleZayed, M.; Wani, S.A.; Bhat, M.Y.Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators. Mathematics 2023, 11, 3604. https://doi.org/10.3390/math11163604AMA StyleZayed M, Wani SA, Bhat MY. Unveiling the Potential of Sheffer Polynomials: Exploring Approximation Features with Jakimovski–Leviatan Operators. Mathematics. 2023; 11(16):3604.
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Aug 8, 2023 |
mdpi.com | Mohra Zayed |Shahid Wani |Yamilet Quintana |Shahid Kamal Ahmad
1. Introduction and PreliminariesA current field of study with practical applications involves investigating the convolution of multiple polynomials as a method for introducing innovative multivariate generalized polynomials. These polynomials hold immense importance due to their useful characteristics, which include recurring and explicit relations, functional and differential equations, summation formulae, symmetric and convolution identities, determinant forms, and more.
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Aug 4, 2023 |
mdpi.com | Mohra Zayed |Shahid Wani |Ali M. Mahnashi |Shahid Kamal Ahmad
This is an early access version, the complete PDF, HTML, and XML versions will be available soon. Open AccessArticlebyMohra Zayed 1, Shahid Ahmad Wani 2,* and Ali M.
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