M
Mansour Mahmoud
Researcher at King Abdulaziz University
Publications - 24
Citations - 152
Mansour Mahmoud is an academic researcher from King Abdulaziz University. The author has contributed to research in topics: Monotonic function & Function (biology). The author has an hindex of 6, co-authored 16 publications receiving 137 citations. Previous affiliations of Mansour Mahmoud include Mansoura University.
Papers
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Some properties of the Catalan-Qi function related to the Catalan numbers.
TL;DR: The authors present a new expression, asymptotic expansions, integral representations, logarithmic convexity, complete monotonicity, minimality, Logarithmically complete monatonicity, a generating function, and inequalities of the Catalan numbers, the Catalan function,and the Catalan–Qi function.
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Three Identities of the Catalan-Qi Numbers
Mansour Mahmoud,Feng Qi +1 more
TL;DR: In this paper, the authors find three new identities of the Catalan-Qi numbers and provide alternative proofs of two identities of Catalan numbers, which generalize three identities of traditional Catalan numbers.
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Schur-convexity of the Catalan–Qi function related to the Catalan numbers
TL;DR: In this paper, the authors presented the Schurconvexity of the absolute of the logarithm of the Catalan-Qi function and proved its monotonicity.
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Generalized q-Bessel function and its properties
Mansour Mahmoud,Mansour Mahmoud +1 more
TL;DR: In this paper, the generalized q-Bessel function was introduced, which is a generalization of the known qBessel functions of kinds 1, 2, 3, and the new q-analogy of the modified Bessel function presented in (Mansour and Al-Shomarani in J. Comput. Anal. Appl. 15(4):655-664, 2013) is introduced.
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New upper bounds of n
TL;DR: In this paper, it was shown that the approximation formula for big factorials has a speed of convergence equal to n-2m-3 for m = 1,2,3.