Subordinations for Functions with Positive Real Part
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DOI: 10.1007/s11785-017-0690-4
Abstract: Some sufficient conditions are determined for certain first order differential subordinations to imply the corresponding analytic solution is subordinate to a rational, exponential, or sine function. By applying these results, we also obtain sufficient conditions… read more here.
Keywords: functions positive; positive real; real part; subordinations functions ... See more keywords
Some hypergeometric functions in positive characteristic and transcendence
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DOI: 10.1016/j.crma.2019.03.006
Abstract: Abstract In this work, we study some special hypergeometric functions in positive characteristic, introduced by D. S. Thakur. We shall establish functional relationships among them, and deduce, with the help of the function field version… read more here.
Keywords: hypergeometric functions; functions positive; characteristic transcendence; positive characteristic ... See more keywords