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gr-qc2024
A Note on and Generalization of "Exploring Modified Kaniadakis Entropy: MOND Theory and the Bekenstein Bound Conjecture"
Julius Lehmann
In a recent paper by Ambrósio et al. [arXiv:2405.14799], it was shown that the gravitational force law of the Modified Newtonian Dynamics (MOND) phenomenology can be derived within…
math.CA2024
Analogs to Ramanujan's Master Theorem and Operational Methods
Julius Lehmann
In this paper, we utilize operational methods to obtain closed-form solutions for certain classes of integrals in the spirit of Ramanujan's Master Theorem and provide several analo…
math.CA2024
Operational Methods Applied to the Spherical Mean and X-Ray Transform
Julius Lehmann
We employ the framework of operational calculus to derive the operators associated with the spherical mean and a class of related averaging means of a function in -dimensional s…