CONVOLUTION PROPERTIES FOR CERTAIN SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS BY MEANS OF CASSINIAN OVALS

In the present paper we introduce two new sub-categories MS∗q,η(p, s; d) and MK q,η(p, s; d) for a variety of meromorphic operations using a q-derivative operator defined on a perforated unit disk. We use Cassinian Oval √1 + dz with d ∈ (0, 1] as a subordinant function. We also find the necessary and sufficient conditions for the activities of these clauses

Bidding combinatorial games

Combinatorial Game Theory is a branch of mathematics and theoretical computer science that studies sequential 2-player games with perfect information. Normal play is the convention where a player who cannot move loses. Here, we generalize the classical alternating normal play to infinitely many game families, by means of discrete Richman auctions (Develin et al. 2010, Larsson et al. 2021, Lazarus et al. 1996). We generalize the notion of a perfect play outcome, and find an exact characterization of outcome feasibility. As a main result, we prove existence of a game form for each such outcome class; then we describe their lattice structures. By imposing restrictions to the general families, such as impartial and {\em symmetric termination}, we find surprising analogies with alternating play.Comment: 5 figure

A rare case of lutembacher syndrome in a young female: a case report from a rural population of Western Uttar Pradesh, India

Lutembacher syndrome is a rare entity presenting with a combination of congenital atrial septal defect with acquired mitral stenosis. Lutembacher syndrome is reported to be more prevalent in developing countries where the incidence of rheumatic fever is high. We also came across with a young female with the similar clinical presentation in our hospital situated in a rural area in Western Uttar Pradesh, India. Keeping in mind its rare occurrence, we are presenting an overview of this syndrome including its various aspects and the problems faced by the patients in rural scenario.

A case of resolution of inferior wall myocardial infarction and varying degrees of atrioventricular block: a case report

Inferior wall myocardial infarction (IWMI) complicating with high degree atrioventricular (AV) block had been a subject of discussion for a long time. Also the transient nature of these AV blocks in the presence of IWMI is well known to us. However our case presented with IWMI with right ventricular MI (RVMI) and in complete heart block and subsequently post thrombolysis developed varying degrees of AV block and reverted back to sinus rhythm. We found it as an incidence not much reported and thus reporting the case herewith

Constructive comparison in bidding combinatorial games

A class of discrete Bidding Combinatorial Games that generalize alternating normal play was introduced by Kant, Larsson, Rai, and Upasany (2022). The major questions concerning optimal outcomes were resolved. By generalizing standard game comparison techniques from alternating normal play, we propose an algorithmic play-solution to the problem of game comparison for bidding games. We demonstrate some consequences of this result that generalize classical results in alternating play (from Winning Ways 1982 and On Numbers and Games 1976). In particular, integers, dyadics and numbers have many nice properties, such as group structures, but on the other hand the game * is non-invertible. We state a couple of thrilling conjectures and open problems for readers to dive into this promising path of bidding combinatorial games.Comment: 23 pages, 1 figur

Association of polymorphisms of IGF1 promoter with growth and fertility performance in PB1 parent line of broiler chicken variety

Blood samples from 180 birds pertaining to a single generation of PB1 parent line were collected for present study. The birds were raised under standard management and different growth variables were recorded up to 20 weeks of age. Age at first egg and egg production till 40 weeks of age was recorded in females. PCR-RFLP analysis was used to screen individuals with polymorphisms in IGF1 promoter region and three genotypes AA, AC and CC were identified at frequencies of 0.79, 0.18 and 0.03, respectively. CC homozygotes were lower with respect to their performance in growth and fertility traits. Sequencing results of both alleles revealed T244G transversion mutation in the C allele. Gene regulation analysis confirmed that such transversion resulted in non-binding of Oct-1 transcription factor at 241 to 250 bp in C allele, causing down regulation of the gene. The mutations in the promoter sequence affected the transcriptional gene regulation affecting growth and fertility performance

Sharp bounds of Fekete-Szegő functional for quasi-subordination class

In the present paper, we introduce a certain subclass q(λ, γ, h) of analytic functions by means of a quasi-subordination. Sharp bounds of the Fekete-Szegő functional for functions belonging to the class q(λ, γ, h) are obtained. The results presented in the paper give improved versions for the certain subclasses involving the quasi-subordination and majorization

Bidding Combinatorial Games

Combinatorial Game Theory is a branch of mathematics and theoretical computer science that studies sequential 2-player games with perfect information. Normal play is the convention where a player who cannot move loses. Here, we generalize the classical alternating normal play to infinitely many game families, by means of discrete Richman auctions (Develin et al. 2010, Larsson et al. 2021, Lazarus et al. 1996). We generalize the notion of a perfect play outcome, and find an exact characterization of outcome feasibility. As a main result, we prove existence of a game form for each such outcome class; then we describe their lattice structures. By imposing restrictions to the general families, such as impartial and symmetric termination, we find surprising analogies with alternating play.</jats:p