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In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization. The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.

Convex functions. --- Gamma functions. --- Functions, Convex --- Functions of real variables --- Functions, Gamma --- Transcendental functions --- Difference Equation --- Higher Order Convexity --- Bohr-Mollerup's Theorem --- Principal Indefinite Sums --- Gauss' Limit --- Euler Product Form --- Raabe's Formula --- Binet's Function --- Stirling's Formula --- Euler's Infinite Product --- Euler's Reflection Formula --- Weierstrass' Infinite Product --- Gauss Multiplication Formula --- Euler's Constant --- Gamma Function --- Polygamma Functions --- Hurwitz Zeta Function --- Generalized Stieltjes Constants

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Since the publication of formerly forbidden und unpublished texts constitutes the main trend of Glasnost', this study has as ist aim the isolation of main trends in the process of the re-evaluation of the cultural heritage of the past by Soviet literary scholarship. The analysed authors will be divided into four main groups: 1. Accepted 19th century classics (e.g. Goncharov); 2. Formerly forbidden 20th century writers (e.g. Zamiatin); 3. Formerly forbidden 19th century writers (e.g. Rozanov and Leontiev); 4. Hagiographic classics of the 20th century Soviet period (e.g. Gorkij).

Evaluation --- Glasnost --- Ideological --- Literary --- Mondry --- Perestroika --- Recent --- Russian literature --- Scholarship --- Sovie --- Soviet --- Soviet literature --- the Lenin-Plekhanov Formula --- Trends

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Infant formula industry --- Infant formulas --- Price fixing --- Prices --- Special Supplemental Nutrition Program for Women, Infants, and Children (U.S.)

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To date, most published books on enteral nutrition support focus only on issues such as the rationale, specific nutrient requirements for various disease conditions, and practical approaches to the delivery, monitoring, and complications preventions while providing enteral nutrition support. None offer information relating to the developmental aspects of enteral foods, e.g. processing technology, types of ingredients, physicochemical and nutritional characteristics, shelf life evaluations, etc. These aspects are critical because they affect the overall acceptability, tolerance, and effectiveness of enteral nutrition support. Medical Foods from Natural Sources discusses the development of the enteral foods from the natural sources for the patients, such as barley, rice, eggs, and milk, and presents methods on how to prepare enteral foods from natural sources for use. The book fills the gap in related literature by discussing the history of enteral nutrition, interpreting the statistics regarding worldwide need for enteral nutrition support and cost involved, enumerating the processing technology to develop natural ingredients-based enteral foods, and describing the results of prospective clinical trials and case studies conducted to evaluate the effectiveness of enteral foods based on natural ingredients.

Elemental diet. --- Enteral feeding. --- Natural foods --- Food, Natural --- Health foods --- Natural food --- Organic food --- Organic foods --- Organically grown foods --- Whole foods --- Wholefood --- Enteral hyperalimentation --- Hyperalimentation, Enteral --- Chemically defined diet --- Defined-formula diet --- Diet, Chemically defined --- Diet, Defined-formula --- Diet, Elemental --- Diet, Formula --- Diet, Synthetic --- Dietary formulations --- Elemental nutrition --- Formula diet --- Formulated food --- Medical food --- Synthetic diet --- Health aspects. --- Processing. --- Chemistry. --- Food --- Nutrition. --- Food Science. --- Chemistry/Food Science, general. --- Biotechnology. --- Food industry and trade --- Diet therapy --- Nutrition --- Artificial feeding --- Food science. --- Alimentation --- Health --- Physiology --- Diet --- Dietetics --- Digestion --- Food habits --- Malnutrition --- Physical sciences --- Science --- Health aspects --- Food—Biotechnology. --- Nutrition   .

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Infant formulas --- Rebates --- Infant formula industry --- Costs. --- Special Supplemental Nutrition Program for Women, Infants, and Children (U.S.) --- Appropriations and expenditures.