Abstract
In many recent works, several authors demonstrated the usefulness of fractional-calculus operators in many different directions. The main object of this paper is to present, in a unified manner, a number of key results for the general \(\bar H\)-function, which is associated with a certain class of Feynman integrals, involving the Riemann-Liouville, the Weyl, and other fractional-calculus operators such as those based on the Cauchy-Goursat Integral Formula. Various paricular cases and consequences of our main fractional-calculus results are also considered.
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Dedicated to the memory of Professor Boris Moiseevich Levitan (1914–2004)
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Srivastava, H.M., Lin, SD. & Wang, PY. Some fractional-calculus results for the \(\bar H\)-function associated with a class of Feynman integrals. Russ. J. Math. Phys. 13, 94–100 (2006). https://doi.org/10.1134/S1061920806010092
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DOI: https://doi.org/10.1134/S1061920806010092