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Retains the easy-to-read format and informal flavor of the previous editions, and includes new material on the symmetric properties of extended arrays (crystals), projection operators, LCAO molecular orbitals, and electron counting rules. Also contains many new exercises and illustrations.
Quantum chemistry --- fysicochemie --- Group theory --- Molecular theory --- Groupes, Théorie des --- Théorie moléculaire --- Molecular theory. --- 548.12 --- 512.54 --- 541.6 --- #WSCH:AAS2 --- Chemistry, Physical and theoretical --- Matter --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Theory of symmetry. Theory of original forms in general --- Groups. Group theory --- Chemical structure in general. Chemical structure in relation to properties of substances. Chemistry of high polymers --- Constitution --- Group theory. --- Theoretische chemie --- Chemistry --- Use of --- Groups (Mathematics) --- Crystallographic symmetry --- Determinants --- Hybrid orbitals --- Ligand field theory --- Molecular orbital theory --- Molecular symmetry --- Molecular vibrations --- Quantum mechanics --- Resonance integral --- 541.6 Chemical structure in general. Chemical structure in relation to properties of substances. Chemistry of high polymers --- 512.54 Groups. Group theory --- 548.12 Theory of symmetry. Theory of original forms in general --- Crystallographic symmetry. --- Determinants. --- Hybrid orbitals. --- Ligand field theory. --- Molecular orbital theory. --- Molecular symmetry. --- Molecular vibrations. --- Quantum mechanics. --- Resonance integral. --- Théorie des groupes --- Théorie des groupes --- Théorie moléculaire --- Molecular toxicology. --- Symmetry (Physics) --- Ligands. --- Molecular orbitals. --- Molecular structure. --- Crystallography, Mathematical. --- Symétrie (physique) --- Orbitales moléculaires. --- Théorie moléculaire. --- Structure moléculaire --- Chimie --- Groupes, Théorie des. --- Cristallographie mathématique. --- Mathematics. --- Mathématiques. --- Symmetry group
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This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
generalized Laguerre --- central complete Bell numbers --- rational polynomials --- Changhee polynomials of type two --- Euler polynomials --- generalized Laguerre polynomials --- Hermite --- conjecture --- Legendre --- the degenerate gamma function --- trivariate Lucas polynomials --- perfectly matched layer --- third-order character --- Euler numbers --- two variable q-Berstein operator --- entropy production --- hypergeometric function --- q-Bernoulli numbers --- q-Bernoulli polynomials --- symmetry group --- Bernoulli polynomials --- Fibonacci polynomials --- central incomplete Bell polynomials --- Chebyshev polynomials --- convolution sums --- Lucas polynomials --- Jacobi --- the modified degenerate Laplace transform --- q-Volkenborn integral on ?p --- and fourth kinds --- two variable q-Berstein polynomial --- the modified degenerate gamma function --- two variable q-Bernstein operators --- reduction method --- identity --- elementary and combinatorial methods --- generalized Bernoulli polynomials and numbers attached to a Dirichlet character ? --- explicit relations --- recursive sequence --- Fubini polynomials --- p-adic integral on ?p --- generating functions --- q-Euler number --- acoustic wave equation --- congruence --- trivariate Fibonacci polynomials --- stochastic thermodynamics --- fermionic p-adic integrals --- Laguerre polynomials --- fluctuation theorem --- Bernoulli numbers and polynomials --- w-torsion Fubini polynomials --- non-equilibrium free energy --- hypergeometric functions 1F1 and 2F1 --- recursive formula --- Chebyshev polynomials of the first --- second --- central complete Bell polynomials --- Apostol-type Frobenius–Euler polynomials --- sums of finite products --- q-Euler polynomial --- symmetric identities --- stability --- fermionic p-adic q-integral on ?p --- Gegenbauer polynomials --- continued fraction --- thermodynamics of information --- well-posedness --- fermionic p-adic integral on ?p --- catalan numbers --- classical Gauss sums --- three-variable Hermite polynomials --- q-Changhee polynomials --- Catalan numbers --- two variable q-Bernstein polynomials --- q-Euler polynomials --- analytic method --- representation --- mutual information --- Fibonacci --- Legendre polynomials --- Gegenbauer --- generalized Bernoulli polynomials and numbers of arbitrary complex order --- Lucas --- elementary method --- new sequence --- third --- the degenerate Laplace transform --- computational formula --- operational connection --- sums of finite products of Chebyshev polynomials of the third and fourth kinds --- Changhee polynomials --- linear form in logarithms
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