arXiv subjects
Publications and source records attributed to Amit Soni.
We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu type power series involving factorials in its coefficients. Using criteria due to Fejer and Ozaki, we provide sufficient conditions for these functions to be close-to-convex or starlike inside the unit disk, and thus univalent.
We report the structural, mechanical, electronic, optical, thermoelectric properties and spectroscopic limited maximum efficiency (SLME) of oxide double perovskite structure Ba2SbNbO6 and Ba2SbTaO6 compounds. All the investigations were performed through the first-principles density functional theory (DFT). The obtained values for the elastic constants reveal the mechanical stability of the studied compounds. The calculated data of bulk modulus (B), shear modulus (G), and Young's modulus (E) for Ba2SbTaO6 are found to be greater than those of Ba2SbNbO6. The ratio of Bulk to shear ratio (B/G) shows that Ba2SbNbO6 and Ba2SbTaO6 are ductile. The computed electronic band structure reveals the semiconducting nature of both compounds. We have also studied the electron relaxation time-dependent thermoelectric properties, such as Seebeck coefficient, thermal conductivity, electrical conductivity, thermoelectric power factor, and the figure of merit as a function of chemical potential at various temperatures for p-type and n-type charge carriers. The high absorption spectra and good figure of merit (ZT) reveal that both the studied compounds, Ba2SbXO6 (X = Nb, Ta) are promising materials for photovoltaic and thermoelectric applications. The calculated SLME of 26.8% reveals that Ba2SNbO6 is an appealing candidate for single-junction solar cells.