Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms

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homogeneous q-difference operator; double q-binomial coefficients; q-difference equations; q-hypergeometric polynomials; generating functions; spherical h-harmonics; Cesàro means; Christoffel functions; singularly perturbed problems; semilinear differential equation; quasilinearization; boundary layer; fitted operator finite difference method; uniform convergence; Sturm–Liouville problems; exceptional orthogonal X1-polynomials; Pearson distributions family; generalized Jacobi, Laguerre and Hermite differential equations; degenerate Daehee polynomials; multiple degenerate Daehee numbers; higher-order degenerate Daehee polynomials; modified Bessel functions of the first kind; McKay’s \({I_\nu}\) Bessel distribution; lower incomplete Fox–Wright functions; cumulative distribution function; functional bounding inequality; Hermite-Hadamard inequality; digamma function; trigamma function; absolutely continuous mapping; convex function; arithmetic mean; geometric mean; logarithmic mean; three connected neoclassical growth models; stochastic delay system; stability analysis; It o ^ formula; spectral method; gauss hypergeometric function; gauss continued fraction; integral representation; Sturm–Liouville equation; inverse problem; Weyl function; Neumann series of Bessel functions; numerical solution of inverse problem; q-derivative; q-numbers; q-sigmoid numbers and polynomials; q-differential equations of higher order; q-sigmoid polynomials; symmetric property; Gerasimov–Caputo derivative; fractional differential equation; analytic resolving family of operators; degenerate evolution equation; multi-term fractional equation; initial value problem; initial boundary value problem; hyperbolic equation; differential-difference equation; initial problem; Fourier transform; operational scheme; two-dimensional Markov chain; cellular automata; Margolus neighbourhood; diffusion; probability distribution; transient problems; generalized Padé approximations; Gauss–Legendre quadrature; high accuracy and efficiency; Goursat problem; Bessel operator; transmutation operator; Erdélyi-Kober operator; Riemann method; fourth-order equation; quasilinear equations and inequalities; KPZ-nonlinearities; qualitative properties of solutions; methods of monotonous maps; blow-up; stabilization; Sonin kernels; Sonin condition; general fractional integral; general fractional derivative; fundamental theorems of fractional calculus; inverse spectral problems; Sturm–Liouville operator; polynomials in the boundary conditions; entire functions in the boundary conditions; uniqueness theorems; half-inverse problems; discontinuity inside the interval; general fractional calculus; fractional derivatives; fractional integrals; Riesz potential; nonlocality; (p,ν)-extended Beta function; (p,ν)-extended Gauss hypergeometric function; (p,ν)-extended confluent hypergeometric function; (p,ν)-extended Mathieu-type series; modified Bessel function of the second kind; bounding inequalities for (p,ν)-extended Mathieu-type series; digamma function; Bessel functions; incomplete beta function; Wright function; Mittag–Leffler function; differentiation with respect to parameters; q-trigonometric functions; q-exponential functions; Frobenius–Euler polynomials; Apostol Frobenius–Euler polynomials; generating functions; combinatorial sums; differential-difference equations; nonlocal potential elliptic equations; half-space Dirichlet problem; summable boundary-value functions; n/a