1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
11 Two Partial Unpublished Manuscripts on Sums Involving Primes.- 12 Infinite Series
13 A Partial Manuscript on Fourier and Laplace Transforms
14 Integral Analogues of Theta Functions adn Gauss Sums
15 Functional Equations for Products of Mellin Transforms
16 Infinite Products
17 A Preliminary Version of Ramanujan's Paper, On the Integral ∫_0^x tan^(-1)t)/t dt
18 A Partial Manuscript Connected with Ramanujan's Paper, Some Definite Integrals.- 19 Miscellaneous Results in Analysis
20 Elementary Results
21 A Strange, Enigmatic Partial Manuscript.- Location Guide
Provenance
References
Index
Preface
1 Introduction.- 2 Double Series of Bessel Functions and the Circle and Divisor Problems.- 3 Koshliakov's Formula and Guinand's Formula.- 4 Theorems Featuring the Gamma Function.- 5 Hypergeometric Series.- 6 Euler's Constant.- 7 Problems in Diophantine Approximation.- 8 Number Theory.- 9 Divisor Sums
10 Identities Related to the Riemann Zeta Function and Periodic Zeta Functions
Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
On the Mazur–Ulam Theorem (M. Aghajani)
A Fixed Point Approach to Stability of the Quadratic Equation (M. Almahalebi, A. Charifi, S. Kabbaj, E. Elqorachi)
Aspects of Global Analysis of Circle-Valued Mappings (D. Andrica, D. Mangra, C. Pintea)
A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces (B. Batko, J. Brzdęk)
Elliptic Problems on the Sierpinski Gasket (B.E. Breckner, C. Varga)
Initial Value Problems in Linear Integral Operator Equations (L.P. Castro, M.M. Rodrigues, S. Saitoh)
Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings (T. Chirilă)
Normal Cones and Thompson Metric (Ş. Cobzaş, M.-D. Rus)
Functional Operators and Approximate Solutions of Functional Equations (S. Czerwik, K. Król)
Markov-Type Inequalities with Applications in Multivariate Approximation Theory (N.J. Daras)
The Number of Prime Factors Function on Shifted Primes and Normal Numbers (J.-M. De Koninck, I. Kátai)
Imbedding Inequalities for Composition of Green's and Potential Operators (S. Ding, Y. Xing)
On Approximation Properties of q-King Operators (Z. Finta)
Certain Szász-Mirakyan-Beta Operators (N.K. Govil, V. Gupta, D. Soybaş)
Extremal Problems and g-Loewner Chains in Cn and Reflexive Complex Banach Spaces (I. Graham, H. Hamada, G. Kohr)
Different Durrmeyer Variants of Baskakov Operators (V. Gupta)
Hypergeometric Representation of Certain Summation-Integral Operators (V. Gupta, T.M. Rassias)
On a Hybrid Fourth Moment Involving the Riemann Zeta-Function (A. Ivić, W. Zhai)
On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends (M. Kohr, C. Pintea)
Meaned Spaces and a General Duality Principle (J. Kolumbán, J.J. Kolumbán)
An AQCQ-Functional Equation in Matrix Random Normed Spaces (J.R. Lee, C. Park, T.M. Rassias)
A Planar Location-Allocation Problem with Waiting Time Costs (L. Mallozzi, E. D'Amato, E. Daniele)
The Stability of an Affine Type Functional Equation with the Fixed Point Alternative (M. Mursaleen, K.J. Ansari)
On Some Integral Operators (K.I. Noor)
Integer Points in Large Bodies (W.G. Nowak)
On the Orderability Problem and the Interval Topology (K. Papadopoulos)
A Class of Functional-Integral Equations with Applications to a Bilocal Problem (A. Petrusel, I.A. Rus)
Hyperbolic Wavelets (F. Schipp)
One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann's Zeta-Function (J. Steuding)
On the Energy of Graphs (I. Triantafillou)
Implicit Contractive Maps in Ordered Metric Spaces (M. Turinici)
Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam (F. Weisz)
Multidimensional Hilbert-Type Integral Inequalities and Their Operators (B. Yang)
Simple Proofs of Some Bernstein–Mordell Type Inequalities (V. Adiyasuren, Tserendorj Batbold)
Hilbert-Type Inequalities Including Some Operators, The Best Possible Constants and Applications: A survey (V. Adiyasuren, Tserendorj Batbold, M. Krnić)
Two-parametric Mittag-Leffler functions with three parameters
Multi-index and multi-variable Mittag-Leffler functions. - The Classical Wright function. - Applications to solution of fractional order equations. - Applications to deterministic models
Applications to stochastic models. - Appendix A. The Eulerian functions
Appendix B. Basic of Entire Functions
Appendix C. Integral transforms
Appendix D. Mellin-Barnes integral. - Appendix E. Elements of Fractional Calculus
Frobenius action on a hypergeometric curve and an algorithm for computing values of Dwork’s p-adic hypergeometric functions (Asakura)
A Matrix version of Dwork’s Congruences (Beukers)
On the kernel curves associated with walks in the quarter plane (Singer)
A survey on the hypertranscendence of the solutions of the Schröder's, Böttcher's and Abel's equations (Fernandes)
Hodge structures and differential operators (Vlasenko)
Beck-type identities for Euler pairs of order (Welch et al.)
Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models (Xu et al.)
Infinite product formulae for generating functions for sequences of squares (Radu et al.)
A theta identity of Gauss connecting functions from additive and multiplicative number theory (Merca)
Combinatorial quantum field theory and the Jacobian conjecture (Tanasa)
How regular are regular singularities? (Hauser)
Néron desingularization of extensions of valuation rings with an appendix by kęstutis česnavičius (Popescu)
Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes (Yurkevich)
Proof of chudnovskys’ hypergeometric series for 1/π using weber modular polynomials (Guillera).-Computing an order-complete basis for m∞(n) and applications (Radu et al.)
An algorithm to prove holonomic differential equations for modular forms (Radu et al.)
A case study for ζ(4) (zudilin et al.)
Support of an algebraic series as the range of a recursive sequence (bell)
X-coordinates of pell equations in various sequences (luca)
A conditional proof of the leopoldt conjecture for cm fields (mihailescu)
Siegel’s problem for e-functions of order 2 (Roques et al.)
Irrationality and Transcendence of Alternating Series Via Continued Fractions (Snowdow)
On the transcendence of critical hecke l-values (sprang)
Frobenius action on a hypergeometric curve and an algorithm for computing values of Dwork’s p-adic hypergeometric functions (Asakura)
A Matrix version of Dwork’s Congruences (Beukers)
On the kernel curves associated with walks in the quarter plane (Singer)
Quasilinear Operator Equation at Resonance (E.A. Skachkova)
Control problem for a system of ODE with nonseparated multipoint and integral conditions (Abdullayev)
On generalized convexity and superquadracity (Abramovich)
Well-posedness of nonsmooth Lurie dynamical systems involving maximal monotone operators (D. Goeleven)
Numerical method for calculation of unsteady fluid flow egimes in hydraulic networks of complex structure (K.R. Aida-zade)
Numerical solution to inverse problems of recovering special type source of a parabolic equation (Rahimov).-. Using an Integrating Factor to Transform a Second Order BVP to a Fixed Point Problem (R. Anderson)
Volterra relatively compact perturbations of the Laplace operator (Biyarov)
Computational Aspects of the General Rodrigues Problem (Chender)
Approximation by Max-Product Operators of Kantorovich Type (G. Gal)
Variational Inequalities and General Equilibrium models (Milasi)
The strong convergence of Douglas-Rachford methods for the split feasibility problem (Dong)
Some Triple Integral Inequalities for Functions Defined on 3-Dimensional Bodies Via Gauss-Ostrogradsky Identity (Dragomir)
Optimal emergency evacuation with uncertainty (Scrimali)
On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems (Papadopoulos)
Spectrum Perturbations of Linear Operators in a Banach Space (Gil)
Perturbations of Operator Functions. A Survey (Gil)
Representation variety for the rank one affine group (Munoz)
A Regularized Stochastic Subgradient Projection Method for an Optimal Control Problem In a Stochastic Partial Differential Equation (A. Khan)
A survey on interpolative and hybrid contractions (Karapınar)
Identifying the Computational Problem in Applied Statistics (P. Kitsos)
Fractional Integral Operators in Linear Spaces (Kuang)
Anisotropic Elasticity and Harmonic Functions in Cartesian Geometry (P. Vafeas)
Hyers-Ulam stability of symmetric biderivations on Banach algebras (Park)
Some new classes of Higher order Strongly generalized preinvex functions (A. Noor)
Existence of global solutions and stability results for a non linear wave problem in unbounded domains (P. Papadopoulos)
Congestion control and optimal maintenance of communication networks with stochastic cost functions: a variational formulation (Raciti)
Nonlocal Problems for Hyperbolic Equations (S. Pulkina)
On the Solution of Boundary Value Problems for Loaded Ordinary Differential Equations (E. Providas)
Set-Theoretic Properties of Generalized Topologically Open Sets in Relator Spaces (Száz)
On Degenerate Boundary Conditions and Finiteness of the Spectrum of Boundary Value Problems (T. Sultanaev)
Deceptive systems of differential equations (Schechter)
Cooperative and noncooperative partial differential systems (Schechter)
Some Certain Classes of Combinatorial Numbers and Polynomials Attached to Dirichlet Characters: Their Construction by p-adic Integration and Applications to Probability Distribution Functions (Simsek)
Pathwise stability and positivity of semi-discrete approximations of the solution of nonlinear stochastic differential equations (S. Stamatiou)
A Solution of polynomial equations (N. Tsirivas)
Meir-Keeler sequential contractions and Pata fixed point results (Turinici)
Existence and stability of equilibrium points under the influence of Poynting-Robertson and Stokes drags in the restricted three-body problem (E. Perdiou)
Nearest Neighbour Forecasting Using Sparse Data Representation (Thomakos)
On Two Kinds of the Hardy-Type Integral Inequalities in the Whole Plane with the Equivalent Forms (Rassias)
Product formulae for non-autonomous Gibbs semigroup (A. Zagrebnov)
Quasilinear Operator Equation at Resonance (E.A. Skachkova)
Control problem for a system of ODE with nonseparated multipoint and integral conditions (Abdullayev)
On generalized convexity and superquadracity (Abramovich)
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