Theory of Functions and Applications

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left factorial function; Kurepa’s function; Kurepa’s hypothesis; improper integrals; power series; analytic function; Cauchy residue theorem; Ramanujan’s master theorem; delay differential equation; higher-order; oscillatory; nonoscillatory; non-canonical case; clique functions; collocation points; convergent analysis; fractional Brusselator system; Liouville–Caputo derivative; Euler polynomials; special polynomials; hypergeometric functions; definite integrals; connection formulas; symmetric functions; q-binomial coefficients; partitions; mean; asymptotic expansion; symmetry; Catalan numbers; Lipschitz; metric space; extension; measure; convex functions; Hermite–Hadamard inequality; second-order differential inequalities; holomorphic functions; univalent functions; bi-univalent functions; convolution (Hadamard) product; prestarlike functions; coefficient estimates; Taylor–Maclaurin coefficients; Atkinson type; finite spectrum; eigenparameter-dependent interface condition; matrix representation; mth iterated radial derivative operator; Bloch-type space; weighted-type space; boundedness; compactness; complete convergence (a.co.); relative error regression; nonparametric prediction; kernel method; bandwidth parameter; functional data; financial time series; quasi-associated process; analytic functions; discrete shifts; limit theorem; simultaneous approximation; Selberg–Steuding class; weak convergence; Favard sums; best approximation; exact upper bounds; extremal functions; uniform metric; n/a