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Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2016, Volume 10, Issue 2, pp. 409 - 435
We show that Faà di Bruno’s formula can play important roles in modular forms theory and in the study of differential operators of the form $$ \displaystyle... 
Lagrange inversion formula | Operator Theory | Modular forms | Analysis | Mathematics, general | Eisenstein series | Mathematics | Faà di Bruno’s formula | Complex Variables | Functional Analysis | Classical Analysis and ODEs
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 10/2012, Volume 160, Issue 1, pp. 373 - 414
In this paper, we introduce the theory of equivariant functions by studying their analytic, geometric and algebraic properties. We also determine the necessary... 
Geometry | 11F03 | Schwarz derivative | Cross-ratio | Modular forms | Equivariant functions | Platonic solids | Integrals of elliptic functions | Mathematics | 33E05 | MATHEMATICS | EISENSTEIN SERIES | COEFFICIENTS | EQUATIONS | AUTOMORPHIC-FORMS | ZEROS | General Mathematics
Journal Article
The Journal of Physical Chemistry A, ISSN 1089-5639, 10/2016, Volume 120, Issue 41, pp. 7998 - 8005
Allene (H2CCCH2; a-C3H4) and propyne (CH3CCH; p-C3H4) are important species in various chemical environments. In combustion processes, the reactions of... 
SERIES | KINETICS | 1,3-BUTADIENE | RATE CONSTANTS | UNSATURATED-HYDROCARBONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | GAS-PHASE | DECOMPOSITION | CHEMISTRY, PHYSICAL | RADICALS | SATURNS ATMOSPHERE | SHOCK-WAVES | Chemical reactions | Usage | Hydroxides | Chemical properties | Chemical compounds
Journal Article
Canadian Mathematical Bulletin, ISSN 0008-4395, 2012, Volume 55, Issue 2, pp. 400 - 409
The purpose of this paper is to solve various differential equations having Eisenstein series as coefficients using various tools and techniques. The solutions... 
Equivariant forms | Schwarz derivative | Modular forms | Differential equations | MATHEMATICS | modular forms | equivariant forms | differential equations | Mathematics - Classical Analysis and ODEs
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 1/2016, Volume 10, Issue 1, pp. 29 - 60
In this work we give an extension of two formulas of Frobenius and Stickelberger, and also some other developments by using the Lagrange inversion formula, the... 
Lagrange inversion formula | Faà di Bruno formula | Operator Theory | Analysis | Bell polynomials | Mathematics, general | Mathematics | Complex Variables | Functional Analysis | Classical Analysis and ODEs
Journal Article
Moroccan Journal of Pure and Applied Analysis, ISSN 2351-8227, 12/2018, Volume 4, Issue 2, pp. 122 - 157
This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the... 
Primary: 11E45 | Harmonic numbers | 11A41 | Explicit Formulas | Sums of squares | Zeta functions | 11A25 | Möbius function | 11R47 | Complex Variables | Mathematics | Functional Analysis | Classical Analysis and ODEs
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 01/2016, Volume 10, Issue 1, p. 29
In this work we give an extension of two formulas of Frobenius and Stickelberger, and also some other developments by using the Lagrange inversion formula, the... 
Journal Article
Trends in Mathematics, ISSN 2297-0215, 2017, Issue 200039, pp. 301 - 345
Journal Article
10/2019
We study the geometry and partial differential equations arising from the consideration of Frobenius determinants, also called-group-determinants. 
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 02/2007, Volume 135, Issue 2, pp. 313 - 328
We study the motion of the equilibrium point of Green's function and give an explicit parametrization of the unique zero of the Bergman kernel of the annulus.... 
Series convergence | Riemann surfaces | Zero | Mathematical theorems | Kernel functions | Geometric planes | Polynomials | Mathematical functions | Greens function | Equilibrium points | Eisenstein series | Bergman kernel | MATHEMATICS | MATHEMATICS, APPLIED | equilibrium points
Journal Article
Milan Journal of Mathematics, ISSN 1424-9286, 12/2016, Volume 84, Issue 2, pp. 317 - 347
We give different linear and nonlinear differential relations on Jacobi theta functions with more emphasis on the nonlinear differential equation of the third... 
Jacobi differential equation | 11M41 | Analysis | Darboux-Halphen-Brioschi differential system | Theta functions | Mathematics, general | 26A06 | 30D05 | Infinite order differential operators | Mathematics | GAMMA | MATHEMATICS | ZETA | MATHEMATICS, APPLIED | SERIES | EQUATIONS | FORMULA | Differential equations | Complex Variables | Functional Analysis | Classical Analysis and ODEs
Journal Article
04/2018
We study the geometry and partial differential equations arising from the consideration of Frobenius determinants, also called-group-determinants. This leads... 
Mathematics - Differential Geometry
Journal Article
RIMS Kokyuroku Bessatsu, ISSN 1881-6193, 11/2014, Volume 52, pp. 97 - 126
Journal Article
08/2019
We study the origins of twistor theory and of the Penrose twistor, from the point of view of partial differential equations. We show how the fundamental ideas... 
Mathematics - Differential Geometry
Journal Article
ISSN 1144-0546, 2/2020, Volume 44, Issue 6, pp. 221 - 2221
Three mononuclear coordination complexes of 1-butyl-2-((5-methyl-1 H -pyrazol-3-yl)methyl)-1 H -benzimidazole ( L ), namely [CoL]Cl 2 ( C1 ), [Co 2 L 2 ]Cl 2... 
Journal Article
Journal des Mathematiques Pures et Appliquees, ISSN 0021-7824, 05/2001, Volume 80, Issue 4, pp. 409 - 443
We give a formula for the capacity of an union of three intervals. In the case of two intervals such a formula has been found by N.I. Achieser in 1930. The... 
Fonctions thêta | Rosenhain formulas | Capacité | Capacity | Formules de Rosenhain | Thêta functions
Journal Article
Acta Crystallographica Section E: Crystallographic Communications, ISSN 2056-9890, 2019, Volume 75, Issue 3, pp. 372 - 377
The title compound, C18H12FNOS, is built up from a 4-fluorobenzylidene moiety and a dihydrobenzothiazine unit with a propynyl substituent, with the... 
DFT | Dihydrobenzothiazine | Crystal structure | Hirshfeld surface | Hydrogen bond | crystal structure | dihydrobenzothiazine | hydrogen bond
Journal Article
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