Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplace transforms based some novel integrals via hypergeometric
  technique   In this paper, we obtain the analytical solutions of Laplace transforms based
some novel integrals with suitable convergence conditions, by using
hypergeometric approach (some algebraic properties of Pochhammer symbol and
classical summation theorems of hypergeometric series ${}_{2}F_{1}(1)$,
${}_{2}F_{1}(-1)$ , ${}_{4}F_{3}(-1)$) . Also, we obtain the Laplace transforms
of arbitrary powers of some finite series containing hyperbolic sine and cosine
functions having different arguments, in terms of hypergeometric and Beta
functions. Moreover, Laplace transforms of even and odd positive integral
powers of sine and cosine functions with different arguments, and their
combinations of the product (taking two, three, four functions at a time), are
obtained. In addition, some special cases are yield from the main results.

27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org