[email protected] Phone no. +91 9501544877 Abstract Moebius and Poland syndromes are rare congenital anomalies. Poland syndrome (PS) is characterized by unilateral aplasia/hypoplasia of the breast and pectoralis muscle and ipsilateral deformities in the extremities. However, Moebius-Poland syndrome is rarer than the isolated syndromic conditions. Moebius syndrome is characterized by unilateral...

In the paper, the author (1) presents an explicit formula and its inversion formula for higher order derivatives of generating functions of the Bell polynomials, with the help of the Faà di Bruno formula, properties of the Bell polynomials of the second kind, and the inversion theorem for the Stirling numbers of the first and second kinds; (2) recovers an explicit formula and its inversion form...

moebius syndrome is a rare congenital disorder of the facial and abducens nerve. other cranial nerves may be involved, such as v, ix and xii. several central nervous system anomalies including hypoplastic or dysplastic brain stem, straightening of the fourth ventricle floor, focal necrosis and calcifications of cranial nerve nuclei have been reported in association with moebius syndrome, but we...

In a previous paper MR the authors introduced the inverse measure y of a probability measure on It was argued that the respective multifractal spectra are linked by the inversion formula fy f Here the statements of MR are put in more mathematical terms and proofs are given for the inversion formula in the case of continuous measures Thereby f may stand for the Hausdor spectrum the packing spect...

The application of the Mobius inversion formula to the specific-heat-phonon spectrum inversion problem (SPI) initially appeared promising [N.X. Chen, Phys. Rev. Lett. 64, 1193 (1990); J. Maddox, Nature (London) 344, 377 (1990)]. However, no one has previously been able to obtain the exact Debye spectrum with the correct cut-off factor and frequency dependence from the Mobius formula. The main d...