The degenerate exponentials are degenerate versions of the ordinary exponential and the
truncated degenerate exponentials are obtained from the Taylor expansions of them by …

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The paper is about calculating in closed form the following multiple fractional part integral I
k=∫ 0 1⋯∫ 0 1 x 1 x 2⋯ xn− 1 xnkdx 1 dx 2⋯ dxn, where n≥ 3, k≥ 1 are integers and {x} …

In this paper, the following multiple fractional part integrals I n, mp 1, p 2,…, pn=∫[0, 1] n∏
j= 1 nxjpj {S n− 1} mdx 1⋯ dxn and J n, mp=∫[0, 1] n S np {S n− 1} mdx 1⋯ dxn are …

In this paper, the following generalized multiple fractional part integrals: I n, μ α 1, α 2,…, α n
(a)=∫ 0 1∫ 0 1⋯∫ 0 1 x 1 α 1 x 2 α 2⋯ xn α n 1 ax 1 x 2⋯ xn μ× dx 1 dx 2⋯ dxn, and k 1, k …

In this paper, the following multiple fractional part integrals I n, β α 1, α 2,⋯, α n=∫[0, 1] n∏
j= 1 nxj α j {S n− 1} β dx 1⋯ dxn and J n, β α=∫[0, 1] n S n α {S n− 1} β dx 1⋯ dxn are studied …

A Mystical Generalization of Fractional Part Integral. (Sharma’s Conjecture) Page 1 A Mystical
Generalization of Fractional Part Integral. (Sharma’s Conjecture) Shivam Sharma …

MULTIPLE FRACTIONAL PART INTEGRALS AND EULER’S CONSTANT Page 1 Miskolc
Mathematical Notes HU e-ISSN 1787-2413 Vol. 17 (2016), No. 1, pp. 255–266 DOI …