The study provides integral representations for q-difference operators, suggesting their utility in solving equations in complex analysis.
Integral representations of two q -difference operators are provided in terms of special functions arising in the theory of asymptotic solutions to q -difference equations in the complex domain. Both representations are unified through the so-called ( p , q )-differential operator, for which a kernel-like function is provided, generating the sequence of ( p , q )-factorials.
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Cáceres et al. (2026) studied this question.
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