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Derivation of Lobachevsky integrals in terms of special functions

, 2020
We consider some integrals first derived by Nikolai Lobachevsky. We evaluate several of these definite integrals of the form ∫ ∞ 0 R(y) cos(b) + cosh(αy) dy in terms of a special function, where R(y) is a general complex function and b and α are ...
Robert Reynolds, Allan Stauffer
semanticscholar   +1 more source

On a Conjecture of Zheng Jianhua

Sarajevo Journal of Mathematics
In this paper, a new proof of the existence of the $T$ direction is given. Furthermore, we prove that for a meromorphic function $f$ with finite lower order, satisfying $\limsup\limits_{r\rightarrow \infty} \frac{T(r,f)}{\log^{2}r}=\infty,$ there exists ...
Zhaojun Wu
semanticscholar   +1 more source

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