Integral Transforms and Operational Calculus

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highly oscillatory; convolution quadrature rule; volterra integral equation; Bessel kernel; convergence; higher order Schwarzian derivatives; Janowski star-like function; Janowski convex function; bound on derivatives; tangent numbers; tangent polynomials; Carlitz-type q-tangent numbers; Carlitz-type q-tangent polynomials; (p,q)-analogue of tangent numbers and polynomials; (p,q)-analogue of tangent zeta function; symmetric identities; zeros; Lommel functions; univalent functions; starlike functions; convex functions; inclusion relationships; analytic function; Hankel determinant; exponential function; upper bound; nonlinear boundary value problems; fractional-order differential equations; Riemann-Stieltjes functional integral; Liouville-Caputo fractional derivative; infinite-point boundary conditions; advanced and deviated arguments; existence of at least one solution; Fredholm integral equation; Schauder fixed point theorem; Hölder condition; generalized Kuramoto–Sivashinsky equation; modified Kudryashov method; exact solutions; Maple graphs; analytic function; Hadamard product (convolution); partial sum; Srivastava–Tomovski generalization of Mittag–Leffler function; subordination; differential equation; differential inclusion; Liouville–Caputo-type fractional derivative; fractional integral; existence; fixed point; Bernoulli spiral; Grandi curves; Chebyshev polynomials; pseudo-Chebyshev polynomials; orthogonality property; symmetric; encryption; password; hash; cryptography; PBKDF; q–Bleimann–Butzer–Hahn operators; (p,q)-integers; (p,q)-Bernstein operators; (p,q)-Bleimann–Butzer–Hahn operators; modulus of continuity; rate of approximation; K-functional; Hurwitz-Lerch zeta function; generalized functions; analytic number theory; λ-generalized Hurwitz-Lerch zeta functions; derivative properties; series representation; basic hypergeometric functions; generating functions; q-polynomials; analytic functions; Mittag–Leffler functions; starlike functions; convex functions; Hardy space; vibrating string equation; initial conditions; spectral decomposition; regular solution; the uniqueness of the solution; the existence of a solution; analytic; α-convex function; starlike function; strongly-starlike function; subordination; q -Sheffer–Appell polynomials; generating relations; determinant definition; recurrence relation; q -Hermite–Bernoulli polynomials; q -Hermite–Euler polynomials; q -Hermite–Genocchi polynomials; Volterra integral equations; highly oscillatory Bessel kernel; Hermite interpolation; direct Hermite collocation method; piecewise Hermite collocation method; differential operator; q-hypergeometric functions; meromorphic function; Mittag–Leffler function; Hadamard product; differential subordination; starlike functions; Bell numbers; radius estimate; (p, q)-integers; Dunkl analogue; generating functions; generalization of exponential function; Szász operator; modulus of continuity; function spaces and their duals; distributions; tempered distributions; Schwartz testing function space; generalized functions; distribution space; wavelet transform of generalized functions; Fourier transform; analytic function; subordination; Dziok–Srivastava operator; nonlinear boundary value problem; nonlocal; multi-point; multi-strip; existence; Ulam stability; functions of bounded boundary and bounded radius rotations; subordination; functions with positive real part; uniformly starlike and convex functions; analytic functions; univalent functions; starlike and q-starlike functions; q-derivative (or q-difference) operator; sufficient conditions; distortion theorems; Janowski functions; analytic number theory; λ-generalized Hurwitz–Lerch zeta functions; derivative properties; recurrence relations; integral representations; Mellin transform; natural transform; Adomian decomposition method; Caputo fractional derivative; generalized mittag-leffler function; analytic functions; Hadamard product; starlike functions; q-derivative (or q-difference) operator; Hankel determinant; q-starlike functions; fuzzy volterra integro-differential equations; fuzzy general linear method; fuzzy differential equations; generalized Hukuhara differentiability; spectrum symmetry; DCT; MFCC; audio features; anuran calls; analytic functions; convex functions; starlike functions; strongly convex functions; strongly starlike functions; uniformly convex functions; Struve functions; truncated-exponential polynomials; monomiality principle; generating functions; Apostol-type polynomials and Apostol-type numbers; Bernoulli, Euler and Genocchi polynomials; Bernoulli, Euler, and Genocchi numbers; operational methods; summation formulas; symmetric identities; Euler numbers and polynomials; q-Euler numbers and polynomials; Hurwitz-Euler eta function; multiple Hurwitz-Euler eta function; higher order q-Euler numbers and polynomials; (p, q)-Euler numbers and polynomials of higher order; symmetric identities; symmetry of the zero