All Stories

  1. Extended von Bertalanffy Equation in Solow Growth Modelling

    Article • Algorithms, September 2025, MDPI AG

    Daniele Ritelli

  2. Probabilistic Multiple-Integral Evaluation of Odd Dirichlet Beta and Even Zeta Functions and Proof of Digamma-Trigamma Reflections

    Article • Foundations, August 2025, MDPI AG

    Daniele Ritelli

  3. Introduction to Special Functions for Applied Mathematics

    Article • July 2025, Taylor & Francis

    Daniele Ritelli

  4. Modeling Odd Nonlinear Oscillators with Fifth-Order Truncated Chebyshev Series

    Article • Mathematics, March 2025, MDPI AG

    Daniele Ritelli

  5. A Novel Family of Starlike Functions Involving Quantum Calculus and a Special Function

    Article • Fractal and Fractional, March 2025, MDPI AG

    Daniele Ritelli

  6. Two Approaches for Evaluating the Period Function of Some Hamiltonian Systems

    Article • December 2024, Taylor & Francis

    Daniele Ritelli

  7. Sharp Second-Order Hankel Determinants Bounds for Alpha-Convex Functions Connected with Modified Sigmoid Functions

    Article • Axioms, December 2024, MDPI AG

    Daniele Ritelli

  8. Exact time–integral inversion via Čebyšëv quintic approximations for nonlinear oscillators

    Article • Journal of Mathematical Analysis and Applications, May 2024, Elsevier

    Daniele Ritelli

  9. A Five-Step Block Method Coupled with Symmetric Compact Finite Difference Scheme for Solving Time-Dependent Partial Differential Equations

    Article • Symmetry, March 2024, MDPI AG

    Daniele Ritelli

  10. A Structural Approach to Gudermannian Functions

    Article • Results in Mathematics, November 2023, Springer Science + Business Media

    Daniele Ritelli

  11. Fuzzy Esscher changes of measure and copula invariance in Lévy markets

    Article • Fuzzy Sets and Systems, August 2023, Elsevier

    Daniele Ritelli

  12. The Wallis Products for Fermat Curves

    Article • Vietnam Journal of Mathematics, May 2023, Springer Science + Business Media

    Daniele Ritelli

  13. Connections between normalized Wright functions with families of analytic functions with negative coefficients

    Article • Analysis, March 2022, De Gruyter

    Daniele Ritelli

  14. Explicit Solution for a Family of Hermann Riccati Differential Equations

    Article • Contemporary Mathematics, March 2022, Universal Wiser Publisher Pte. Ltd

    Daniele Ritelli

  15. A Forgotten Differential Equation Studied by Jacopo Riccati Revisited in Terms of Lie Symmetries

    Article • Mathematics, June 2021, MDPI AG

    Daniele Ritelli

  16. Keplerian trigonometry

    Article • Monatshefte für Mathematik, January 2021, Springer Science + Business Media

    Daniele Ritelli

  17. Generalized Logistic Equations in Covid-Related Epidemic Models

    Article • January 2021, Springer Science + Business Media

    Daniele Ritelli

  18. Hypergeometric Identities Related to Roberts Reductions of Hyperelliptic Integrals

    Article • Results in Mathematics, October 2020, Springer Science + Business Media

    Daniele Ritelli

  19. Identities for Catalan’s Constant Arising from Integrals Depending on a Parameter

    Article • Acta Mathematica Sinica English Series, October 2020, Springer Science + Business Media

    Daniele Ritelli

  20. Aircraft planar trajectories in crosswind navigation: some hypergeometric solutions

    Article • European Journal of Physics, December 2018, Institute of Physics Publishing

    Daniele Ritelli

  21. Johann Bernoulli's first lecture from the first integral calculus textbook ever written: an annotated translation

    Article • International Journal of Mathematical Education in Science and Technology, November 2018, Taylor & Francis

    Daniele Ritelli

  22. Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode

    Article • Celestial Mechanics and Dynamical Astronomy, June 2018, Springer Science + Business Media

    Daniele Ritelli

  23. Evaluation of harmonic sums with integrals

    Article • Quarterly of Applied Mathematics, February 2018, American Mathematical Society (AMS)

    Daniele Ritelli

  24. Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces

    Article • Applied Mathematical Modelling, January 2018, Elsevier

    Daniele Ritelli

  25. Unsteady Roto-Translational Viscous Flow: analytical Solution to Navier-Stokes Equations in Cylindrical Geometry

    Article • Journal of Geometry and Symmetry in Physics, January 2018, Prof. Marin Drinov Academic Publishing House

    Daniele Ritelli

  26. Some new inequalities involving generalized Erdelyi-Kober fractional q-integral operator

    Article • Applied Mathematical Sciences, January 2015, Hikari, Ltd.

    Professor Praveen Agarwal, Daniele Ritelli

  27. On computing some special values of multivariate hypergeometric functions

    Article • Journal of Mathematical Analysis and Applications, December 2014, Elsevier

    Daniele Ritelli

  28. The meridian curve of a wetting drop: a boundary value problem and its elliptic integrals solution

    Article • Meccanica, June 2014, Springer Science + Business Media

    Daniele Ritelli

  29. Legendre hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli

    Article • Journal of Number Theory, February 2014, Elsevier

    Daniele Ritelli

  30. Nonlinear 1-D Oscillations of a Charge Particle Under Coulomb Forces and Dry Friction

    Article • January 2014, Prof. Marin Drinov Academic Publishing House

    Daniele Ritelli

  31. Existence of EOQ and its Evaluation: Some Cases of Stock Blow Down Dynamics Depending on its Level

    Article • August 2013, Springer Science + Business Media

    Daniele Ritelli

  32. Mathematical properties of EOQ models with special cost structure

    Article • Applied Mathematical Modelling, February 2013, Elsevier

    Daniele Ritelli

  33. Another Proof of <tex-math> ${\zeta(2)=\frac{\pi^2}{6}}$ </tex-math> Using Double Integrals

    Article • American Mathematical Monthly, January 2013, Taylor & Francis

    Daniele Ritelli

  34. Probability of digits by dividing random numbers: A ψ and

    Article • Expositiones Mathematicae, January 2012, Elsevier

    Daniele Ritelli

  35. Exact Curvature Elastica of a Thin Cantilever Under Terminal Loads

    Article • January 2012, Prof. Marin Drinov Academic Publishing House

    Daniele Ritelli

  36. π and the hypergeometric functions of complex argument

    Article • Journal of Number Theory, October 2011, Elsevier

    Daniele Ritelli

  37. Closed form integration of a hyperelliptic, odd powers, undamped oscillator

    Article • Meccanica, July 2011, Springer Science + Business Media

    Daniele Ritelli

  38. Exact Solutions of Nonlinear Equation of Rod Deflections Involving the Lauricella Hypergeometric Functions

    Article • International Journal of Mathematics and Mathematical Sciences, January 2011, Hindawi Publishing Corporation

    Daniele Ritelli

  39. The hyperelliptic integrals and π

    Article • Journal of Number Theory, December 2009, Elsevier

    Daniele Ritelli

  40. Closed form solution of a periodically forced logistic model

    Article • ANNALI DELL UNIVERSITA DI FERRARA, February 2008, Springer Science + Business Media

    Daniele Ritelli

  41. Reply of the Authors to Prof. Neukirch comments

    Article • Meccanica, September 2007, Springer Science + Business Media

    Daniele Ritelli

  42. The Goodwin cycle improved with generalized wages: phase portrait, periodic behaviour

    Article • Journal of Interdisciplinary Mathematics, February 2007, Taru Publications

    Daniele Ritelli

  43. Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces

    Article • Meccanica, September 2006, Springer Science + Business Media

    Daniele Ritelli

  44. Relativistic brachistochrones under electric or gravitational uniform fields

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, September 2006, Wiley

    Daniele Ritelli

  45. A 3-dimensional Eulerian array

    Article • ANNALI DELL UNIVERSITA DI FERRARA, July 2006, Springer Science + Business Media

    Daniele Ritelli

  46. Frictionless planar motion of a couple of hinged rods

    Article • Neliniini Kolyvannya, January 2006, Springer Science + Business Media

    Daniele Ritelli

  47. A nonlinear boundary problem by the inventory’s optimization of a productive system with not wholly quadratic costs

    Article • Journal of Interdisciplinary Mathematics, January 2005, Taru Publications

    Daniele Ritelli

  48. Higher Order Approximation of the Period-energy Function for Single Degree of Freedom Hamiltonian Systems

    Article • Meccanica, August 2004, Springer Science + Business Media

    Daniele Ritelli

  49. The Solow model improved through the logistic manpower growth law

    Article • ANNALI DELL UNIVERSITA DI FERRARA, January 2003, Springer Science + Business Media

    Daniele Ritelli