Edit Profile (opens in new tab) Ritelli, Daniele Co-Author Distance Author ID: ritelli.daniele Published as: Ritelli, Daniele; Ritelli, D. External Links: ORCID Documents Indexed: 62 Publications since 1997, including 2 Books Co-Authors: 18 Co-Authors with 59 Joint Publications 102 Co-Co-Authors all top 5 Co-Authors 3 single-authored 44 Mingari Scarpello, Giovanni 4 Gambini, Alessandro 4 Palestini, Arsen 4 Scimone, Aldo 4 Spaletta, Giulia 3 Barbiroli, Giancarlo 2 Bocci, Alessio 2 Foschi, Silvia 2 Joshi, Santosh Bhaurao 2 Nicoletti, Giorgio 1 Bernardi, Enrico 1 Fabbri, Paolo 1 Ferretti, Federica 1 Joshi, Sayali S. 1 Kaushik, Vivek 1 Pawar, Haridas H. 1 Silimbani, Matteo 1 Spelta, Dario all top 5 Serials 5 Meccanica 5 Journal of Geometry and Symmetry in Physics 3 Journal of Number Theory 3 Applied Mathematical Sciences (Ruse) 3 International Journal of Geometry 2 Tamkang Journal of Mathematics 2 Applied Mathematical Modelling 2 New Zealand Journal of Mathematics 2 Divulgaciones Matemáticas 2 Journal of Interdisciplinary Mathematics 2 Applied Sciences 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 American Mathematical Monthly 1 European Journal of Physics 1 International Journal of Mathematical Education in Science and Technology 1 International Journal of Systems Science 1 Journal of Mathematical Analysis and Applications 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Mathematical Economics 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Statistica 1 Rendiconti del Seminario Matematico 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Elemente der Mathematik 1 Expositiones Mathematicae 1 Celestial Mechanics and Dynamical Astronomy 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Analysis (München) 1 Acta Mathematica Sinica. English Series 1 International Mathematical Journal 1 Nonlinear Dynamics and Systems Theory 1 Journal of Analysis and Applications 1 Nonlinear Oscillations 1 International Journal of Contemporary Mathematical Sciences 1 Advanced Modeling and Optimization 1 Chapman & Hall/CRC Financial Mathematics Series all top 5 Fields 22 Special functions (33-XX) 16 Ordinary differential equations (34-XX) 10 Mechanics of particles and systems (70-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Mechanics of deformable solids (74-XX) 6 Number theory (11-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Operations research, mathematical programming (90-XX) 4 Partial differential equations (35-XX) 4 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Real functions (26-XX) 2 Sequences, series, summability (40-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 73 times in 55 Documents Cited by ▼ Year ▼ Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces. Zbl 1163.74525Scarpello, Giovanni Mingari; Ritelli, Daniele 8 2006 The hyperelliptic integrals and \(\pi \). Zbl 1234.33011Mingari Scarpello, Giovanni; Ritelli, Daniele 7 2009 Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions. Zbl 1231.35258Mingari Scarpello, Giovanni; Ritelli, Daniele 5 2011 Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli. Zbl 1384.33028Mingari Scarpello, Giovanni; Ritelli, Daniele 4 2014 The Solow model improved through the logistic manpower growth law. Zbl 1149.34330Mingari Scarpello, Giovanni; Ritelli, Daniele 4 2003 Higher-order approximation of the period-energy function for single degree of freedom Hamiltonian systems. Zbl 1068.70516Foschi, S.; Mingari Scarpello, G.; Ritelli, D. 4 2004 \(\pi\) and the hypergeometric functions of complex argument. Zbl 1253.33001Mingari Scarpello, Giovanni; Ritelli, Daniele 3 2011 Closed form solution of a periodically forced logistic model. Zbl 1180.34001Scarpello, Giovanni Mingari; Ritelli, Daniele 3 2008 On computing some special values of multivariate hypergeometric functions. Zbl 1312.33054Mingari Scarpello, Giovanni; Ritelli, Daniele 3 2014 Exact solution to a first-fifth power nonlinear unforced oscillator. Zbl 1238.34003Scarpello, Giovanni Mingari; Ritelli, Daniele 2 2010 Mathematical properties of EOQ models with special cost structure. Zbl 1351.90010Gambini, Alessandro; Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2013 A historical outline of the theorem of implicit functions. Zbl 1030.01020Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2002 Another proof of \(\zeta(2)=\frac{\pi^{2}}{6}\) using double integrals. Zbl 1284.40003Ritelli, Daniele 2 2013 Elliptic integrals solution to elastica’s boundary value problem of a rod bent by axial compression. Zbl 1141.74313Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2007 Closed form solutions to generalized logistic-type nonautonomous systems. Zbl 1189.33007Scarpello, Giovanni Mingari; Palestini, Arsen; Ritelli, Daniele 2 2010 Closed-form integration of a hyperelliptic, odd powers, undamped oscillator. Zbl 1284.70037Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2012 Identities for Catalan’s constant arising from integrals depending on a parameter. Zbl 1464.33006Ferretti, Federica; Gambini, Alessandro; Ritelli, Daniele 2 2020 A new way for old loci. Zbl 1400.51029Ritelli, Daniele; Scimone, Aldo 1 2017 A nonlinear oscillation induced by two fixed gravitating centres. Zbl 1208.70016Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2003 Exact curvature elastica of a thin cantilever under terminal loads. Zbl 1157.74024Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2008 Exact integration of a nonlinear model of steady heat conduction/radiation in a wire with internal power. Zbl 1141.35405Scarpello, Giovanni M.; Palestini, Arsen; Ritelli, Daniele 1 2005 EOQ problem well-posedness: an alternative approach establishing sufficient conditions. Zbl 1230.90024Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2010 Planar brachistochrone of a particle attracted in vacuo by an infinite rod. Zbl 1183.49022Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2007 Probability of digits by dividing random numbers: a \(\psi\) and \(\zeta\) functions approach. Zbl 1277.11082Gambini, Alessandro; Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2012 Relativistic brachistochrones under electric or gravitational uniform fields. Zbl 1116.49024Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2006 Circular motion of a particle under friction and hydraulic dissipation. Zbl 1112.70015Mingari Scarpello, Giovanni; Ritelli, Daniele 1 2005 A nonlinear oscillator modeling the transverse vibrations of a rod. Zbl 1072.74034Ritelli, D.; Mingari Scarpello, G. 1 2003 A new method for the explicit integration of Lotka-Volterra equations. Zbl 1048.34010Mingari Scarpello, Giovanni; Ritelli, Daniele 1 2003 Closed-form integration of the rotating plane pendulum nonlinear equation. Zbl 1079.70018Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2003 Hypergeometric identities related to Roberts reductions of hyperelliptic integrals. Zbl 1453.33010Joshi, Santosh B.; Ritelli, Daniele 1 2020 Evaluation of harmonic sums with integrals. Zbl 1397.40001Kaushik, Vivek; Ritelli, Daniele 1 2018 Actuarial values calculated using the incomplete gamma function. Zbl 1188.62300Scarpello, G. Mingari; Ritelli, D.; Spelta, D. 1 2006 Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode. Zbl 1396.70007Mingari Scarpello, Giovanni; Ritelli, Daniele 1 2018 Identities for Catalan’s constant arising from integrals depending on a parameter. Zbl 1464.33006Ferretti, Federica; Gambini, Alessandro; Ritelli, Daniele 2 2020 Hypergeometric identities related to Roberts reductions of hyperelliptic integrals. Zbl 1453.33010Joshi, Santosh B.; Ritelli, Daniele 1 2020 Evaluation of harmonic sums with integrals. Zbl 1397.40001Kaushik, Vivek; Ritelli, Daniele 1 2018 Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode. Zbl 1396.70007Mingari Scarpello, Giovanni; Ritelli, Daniele 1 2018 A new way for old loci. Zbl 1400.51029Ritelli, Daniele; Scimone, Aldo 1 2017 Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli. Zbl 1384.33028Mingari Scarpello, Giovanni; Ritelli, Daniele 4 2014 On computing some special values of multivariate hypergeometric functions. Zbl 1312.33054Mingari Scarpello, Giovanni; Ritelli, Daniele 3 2014 Mathematical properties of EOQ models with special cost structure. Zbl 1351.90010Gambini, Alessandro; Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2013 Another proof of \(\zeta(2)=\frac{\pi^{2}}{6}\) using double integrals. Zbl 1284.40003Ritelli, Daniele 2 2013 Closed-form integration of a hyperelliptic, odd powers, undamped oscillator. Zbl 1284.70037Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2012 Probability of digits by dividing random numbers: a \(\psi\) and \(\zeta\) functions approach. Zbl 1277.11082Gambini, Alessandro; Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2012 Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions. Zbl 1231.35258Mingari Scarpello, Giovanni; Ritelli, Daniele 5 2011 \(\pi\) and the hypergeometric functions of complex argument. Zbl 1253.33001Mingari Scarpello, Giovanni; Ritelli, Daniele 3 2011 Exact solution to a first-fifth power nonlinear unforced oscillator. Zbl 1238.34003Scarpello, Giovanni Mingari; Ritelli, Daniele 2 2010 Closed form solutions to generalized logistic-type nonautonomous systems. Zbl 1189.33007Scarpello, Giovanni Mingari; Palestini, Arsen; Ritelli, Daniele 2 2010 EOQ problem well-posedness: an alternative approach establishing sufficient conditions. Zbl 1230.90024Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2010 The hyperelliptic integrals and \(\pi \). Zbl 1234.33011Mingari Scarpello, Giovanni; Ritelli, Daniele 7 2009 Closed form solution of a periodically forced logistic model. Zbl 1180.34001Scarpello, Giovanni Mingari; Ritelli, Daniele 3 2008 Exact curvature elastica of a thin cantilever under terminal loads. Zbl 1157.74024Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2008 Elliptic integrals solution to elastica’s boundary value problem of a rod bent by axial compression. Zbl 1141.74313Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2007 Planar brachistochrone of a particle attracted in vacuo by an infinite rod. Zbl 1183.49022Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2007 Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces. Zbl 1163.74525Scarpello, Giovanni Mingari; Ritelli, Daniele 8 2006 Relativistic brachistochrones under electric or gravitational uniform fields. Zbl 1116.49024Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2006 Actuarial values calculated using the incomplete gamma function. Zbl 1188.62300Scarpello, G. Mingari; Ritelli, D.; Spelta, D. 1 2006 Exact integration of a nonlinear model of steady heat conduction/radiation in a wire with internal power. Zbl 1141.35405Scarpello, Giovanni M.; Palestini, Arsen; Ritelli, Daniele 1 2005 Circular motion of a particle under friction and hydraulic dissipation. Zbl 1112.70015Mingari Scarpello, Giovanni; Ritelli, Daniele 1 2005 Higher-order approximation of the period-energy function for single degree of freedom Hamiltonian systems. Zbl 1068.70516Foschi, S.; Mingari Scarpello, G.; Ritelli, D. 4 2004 The Solow model improved through the logistic manpower growth law. Zbl 1149.34330Mingari Scarpello, Giovanni; Ritelli, Daniele 4 2003 A nonlinear oscillation induced by two fixed gravitating centres. Zbl 1208.70016Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2003 A nonlinear oscillator modeling the transverse vibrations of a rod. Zbl 1072.74034Ritelli, D.; Mingari Scarpello, G. 1 2003 A new method for the explicit integration of Lotka-Volterra equations. Zbl 1048.34010Mingari Scarpello, Giovanni; Ritelli, Daniele 1 2003 Closed-form integration of the rotating plane pendulum nonlinear equation. Zbl 1079.70018Scarpello, Giovanni Mingari; Ritelli, Daniele 1 2003 A historical outline of the theorem of implicit functions. Zbl 1030.01020Mingari Scarpello, Giovanni; Ritelli, Daniele 2 2002 all cited Publications top 5 cited Publications all top 5 Cited by 74 Authors 16 Ritelli, Daniele 13 Mingari Scarpello, Giovanni 3 Campbell, John Maxwell 3 Claeyssen, Julio Cesar Ruiz 3 Neto, Joao Plinio Juchem 2 Álvarez, Mariela L. 2 Arribas, Enrique 2 Beléndez, Augusto 2 Beléndez, Tarsicio 2 Gambini, Alessandro 2 Gasull, Armengol 2 Pascual, Carolina 2 Pôrto Júnior, S. S. 1 Ait Dads, El Hadi 1 Arnold, Andrea 1 Azevedo, Douglas R. M. 1 Bacaër, Nicolas 1 Batista, Adriano A. 1 Belkić, Dževad 1 Bezrodnykh, Sergeĭ I. 1 Bocci, Alessio 1 Boni, Claudio 1 Boyd, John Philip 1 Butler, Ronald W. 1 Buzzi, Claudio Aguinaldo 1 Cárdenas-Barrón, Leopoldo Eduardo 1 Carvalho, Yagor Romano 1 Castañeda-Leyva, Netzahualcóyotl 1 Castilho, César 1 Chang, Horngjinh 1 Chen, Kwang-Wu 1 Choi, Junesang 1 Chu, Wenchang 1 Chucheepsakul, Somchai 1 Citterio, Maurizio G. 1 Combot, Thierry 1 Deng, Qianwang 1 Erdenebaatar, Orgil-Erdene 1 García-Saldaña, Johanna D. 1 Gimeno, Encarnación 1 Hu, Yihang 1 Joshi, Santosh Bhaurao 1 Kaushik, Vivek 1 Koiller, Jair 1 Konstantinov, V. V. 1 Kosel, Franc 1 Levrie, Paul 1 Li, Liangpan 1 Liao, Haolan 1 Martínez Izquierdo, Pedro Antonio 1 Martínez, Francisco J. 1 Mawhin, Jean L. 1 Neukirch, Sébastien 1 Nimbran, Amrik Singh 1 Ninjbat, Uuganbaatar 1 Phungpaingam, Boonchai 1 Pogány, Tibor K. 1 Prajapati, Jyotindra C. 1 Rodrigues, Adriano Regis 1 Rodríguez Narciso, Silvia 1 Sen, Abhijit 1 Shah, Pinky M. 1 Shilin, Il’ya Anatol’evich 1 Shpot, Mykola A. 1 Silagadze, Zurab K. 1 Talamo, Rodolfo 1 Teng, Jinn-Tsair 1 Tonon, Remis 1 Valentino, Michele C. 1 Videnič, Tomaž 1 Wood, Andrew T. A. 1 Wu, Jiang 1 Zaccagnini, Alessandro 1 Zhou, Mingchun all top 5 Cited in 38 Serials 7 Meccanica 4 Applied Mathematical Modelling 3 Journal of Mathematical Analysis and Applications 3 Journal of Number Theory 2 European Journal of Physics 2 Physica A 1 International Journal of Engineering Science 1 International Journal of Mathematical Education in Science and Technology 1 Inverse Problems 1 Journal of Mathematical Biology 1 Russian Mathematical Surveys 1 Canadian Mathematical Bulletin 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Journal of Economics 1 Computational Mathematics and Mathematical Physics 1 Elemente der Mathematik 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of the Egyptian Mathematical Society 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Journal of Mathematical Chemistry 1 The Ramanujan Journal 1 Nonlinear Dynamics 1 Journal of Interdisciplinary Mathematics 1 Regular and Chaotic Dynamics 1 Nonlinear Analysis. Real World Applications 1 Miscelánea Matemática 1 Proyecciones 1 Nonlinear Oscillations 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Advances in Mathematical Physics 1 Journal of Classical Analysis 1 DML. Discrete Mathematics Letters all top 5 Cited in 31 Fields 18 Special functions (33-XX) 7 Ordinary differential equations (34-XX) 7 Mechanics of deformable solids (74-XX) 6 Number theory (11-XX) 6 Mechanics of particles and systems (70-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 3 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year